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Publisher: Elsevier   (Total: 3030 journals)

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Showing 1 - 200 of 3030 Journals sorted alphabetically
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 20, SJR: 1.402, h-index: 51)
Academic Radiology     Hybrid Journal   (Followers: 16, SJR: 1.008, h-index: 75)
Accident Analysis & Prevention     Partially Free   (Followers: 79, SJR: 1.109, h-index: 94)
Accounting Forum     Hybrid Journal   (Followers: 22, SJR: 0.612, h-index: 27)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 27, SJR: 2.515, h-index: 90)
Achievements in the Life Sciences     Open Access   (Followers: 4)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 5, SJR: 0.338, h-index: 19)
Acta Astronautica     Hybrid Journal   (Followers: 303, SJR: 0.726, h-index: 43)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Biomaterialia     Hybrid Journal   (Followers: 25, SJR: 2.02, h-index: 104)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription  
Acta de Investigación Psicológica     Open Access   (Followers: 2)
Acta Ecologica Sinica     Open Access   (Followers: 8, SJR: 0.172, h-index: 29)
Acta Haematologica Polonica     Free   (SJR: 0.123, h-index: 8)
Acta Histochemica     Hybrid Journal   (Followers: 3, SJR: 0.604, h-index: 38)
Acta Materialia     Hybrid Journal   (Followers: 196, SJR: 3.683, h-index: 202)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.615, h-index: 21)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.442, h-index: 21)
Acta Oecologica     Hybrid Journal   (Followers: 9, SJR: 0.915, h-index: 53)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription   (Followers: 1)
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 3, SJR: 0.311, h-index: 16)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 2)
Acta Poética     Open Access   (Followers: 4)
Acta Psychologica     Hybrid Journal   (Followers: 21, SJR: 1.365, h-index: 73)
Acta Sociológica     Open Access  
Acta Tropica     Hybrid Journal   (Followers: 5, SJR: 1.059, h-index: 77)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 4)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 3)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 3, SJR: 0.383, h-index: 19)
Actas Urológicas Españolas (English Edition)     Full-text available via subscription   (Followers: 2)
Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 5, SJR: 0.141, h-index: 3)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 4, SJR: 0.112, h-index: 2)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 4)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.967, h-index: 57)
Addictive Behaviors     Hybrid Journal   (Followers: 15, SJR: 1.514, h-index: 92)
Addictive Behaviors Reports     Open Access   (Followers: 5)
Additive Manufacturing     Hybrid Journal   (Followers: 7, SJR: 1.039, h-index: 5)
Additives for Polymers     Full-text available via subscription   (Followers: 20)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 120, SJR: 5.2, h-index: 222)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 11, SJR: 1.265, h-index: 53)
Advanced Powder Technology     Hybrid Journal   (Followers: 16, SJR: 0.739, h-index: 33)
Advances in Accounting     Hybrid Journal   (Followers: 8, SJR: 0.299, h-index: 15)
Advances in Agronomy     Full-text available via subscription   (Followers: 15, SJR: 2.071, h-index: 82)
Advances in Anesthesia     Full-text available via subscription   (Followers: 24, SJR: 0.169, h-index: 4)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 3)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 6, SJR: 1.054, h-index: 35)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 10, SJR: 0.801, h-index: 26)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 21, SJR: 1.286, h-index: 49)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 16, SJR: 3.31, h-index: 42)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.277, h-index: 43)
Advances in Botanical Research     Full-text available via subscription   (Followers: 3, SJR: 0.619, h-index: 48)
Advances in Cancer Research     Full-text available via subscription   (Followers: 26, SJR: 2.215, h-index: 78)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 9, SJR: 0.9, h-index: 30)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 2.139, h-index: 42)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 24, SJR: 0.183, h-index: 23)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 10, SJR: 0.665, h-index: 29)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 8, SJR: 1.268, h-index: 45)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 28, SJR: 0.938, h-index: 33)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 18, SJR: 2.314, h-index: 130)
Advances in Computers     Full-text available via subscription   (Followers: 16, SJR: 0.223, h-index: 22)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 4)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
Advances in Drug Research     Full-text available via subscription   (Followers: 22)
Advances in Ecological Research     Full-text available via subscription   (Followers: 39, SJR: 3.25, h-index: 43)
Advances in Engineering Software     Hybrid Journal   (Followers: 25, SJR: 0.486, h-index: 10)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 7)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 38, SJR: 5.465, h-index: 64)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Fluorine Science     Full-text available via subscription   (Followers: 8)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 41, SJR: 0.674, h-index: 38)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 14)
Advances in Genetics     Full-text available via subscription   (Followers: 15, SJR: 2.558, h-index: 54)
Advances in Genome Biology     Full-text available via subscription   (Followers: 11)
Advances in Geophysics     Full-text available via subscription   (Followers: 6, SJR: 2.325, h-index: 20)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 18, SJR: 0.906, h-index: 24)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 0.497, h-index: 31)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 22)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2, SJR: 0.396, h-index: 27)
Advances in Immunology     Full-text available via subscription   (Followers: 33, SJR: 4.152, h-index: 85)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 1.132, h-index: 42)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 3, SJR: 1.274, h-index: 27)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 4)
Advances in Intl. Accounting     Full-text available via subscription   (Followers: 4)
Advances in Life Course Research     Hybrid Journal   (Followers: 7, SJR: 0.764, h-index: 15)
Advances in Lipobiology     Full-text available via subscription   (Followers: 1)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 8)
Advances in Marine Biology     Full-text available via subscription   (Followers: 16, SJR: 1.645, h-index: 45)
Advances in Mathematics     Full-text available via subscription   (Followers: 10, SJR: 3.261, h-index: 65)
Advances in Medical Sciences     Hybrid Journal   (Followers: 5, SJR: 0.489, h-index: 25)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 5)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 4, SJR: 1.44, h-index: 51)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 21)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 10)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 6, SJR: 0.324, h-index: 8)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 3)
Advances in Oncobiology     Full-text available via subscription   (Followers: 3)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 15, SJR: 2.885, h-index: 45)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.148, h-index: 11)
Advances in Parasitology     Full-text available via subscription   (Followers: 7, SJR: 2.37, h-index: 73)
Advances in Pediatrics     Full-text available via subscription   (Followers: 20, SJR: 0.4, h-index: 28)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 14)
Advances in Pharmacology     Full-text available via subscription   (Followers: 13, SJR: 1.718, h-index: 58)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 7, SJR: 0.384, h-index: 26)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.248, h-index: 11)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 8)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 5)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 18)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 17, SJR: 1.5, h-index: 62)
Advances in Psychology     Full-text available via subscription   (Followers: 56)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 5, SJR: 0.478, h-index: 32)
Advances in Radiation Oncology     Open Access  
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 1, SJR: 0.1, h-index: 2)
Advances in Space Research     Full-text available via subscription   (Followers: 332, SJR: 0.606, h-index: 65)
Advances in Structural Biology     Full-text available via subscription   (Followers: 7)
Advances in Surgery     Full-text available via subscription   (Followers: 6, SJR: 0.823, h-index: 27)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 28, SJR: 1.321, h-index: 56)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 14)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 12)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 1.878, h-index: 68)
Advances in Water Resources     Hybrid Journal   (Followers: 42, SJR: 2.408, h-index: 94)
Aeolian Research     Hybrid Journal   (Followers: 5, SJR: 0.973, h-index: 22)
Aerospace Science and Technology     Hybrid Journal   (Followers: 304, SJR: 0.816, h-index: 49)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.318, h-index: 36)
African J. of Emergency Medicine     Open Access   (Followers: 4, SJR: 0.344, h-index: 6)
Ageing Research Reviews     Hybrid Journal   (Followers: 7, SJR: 3.289, h-index: 78)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 390, SJR: 1.385, h-index: 72)
Agri Gene     Hybrid Journal  
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 15, SJR: 2.18, h-index: 116)
Agricultural Systems     Hybrid Journal   (Followers: 29, SJR: 1.275, h-index: 74)
Agricultural Water Management     Hybrid Journal   (Followers: 36, SJR: 1.546, h-index: 79)
Agriculture and Agricultural Science Procedia     Open Access  
Agriculture and Natural Resources     Open Access   (Followers: 1)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 48, SJR: 1.879, h-index: 120)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.434, h-index: 14)
Air Medical J.     Hybrid Journal   (Followers: 3, SJR: 0.234, h-index: 18)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.285, h-index: 3)
Alcohol     Hybrid Journal   (Followers: 9, SJR: 0.922, h-index: 66)
Alcoholism and Drug Addiction     Open Access   (Followers: 5)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 1, SJR: 0.436, h-index: 12)
Alexandria J. of Medicine     Open Access  
Algal Research     Partially Free   (Followers: 7, SJR: 2.05, h-index: 20)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 3)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.46, h-index: 29)
Allergology Intl.     Open Access   (Followers: 5, SJR: 0.776, h-index: 35)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 6, SJR: 0.158, h-index: 9)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 45, SJR: 4.289, h-index: 64)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 5)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 3)
American Heart J.     Hybrid Journal   (Followers: 45, SJR: 3.157, h-index: 153)
American J. of Cardiology     Hybrid Journal   (Followers: 47, SJR: 2.063, h-index: 186)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 34, SJR: 0.574, h-index: 65)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 6, SJR: 1.091, h-index: 45)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 14, SJR: 1.653, h-index: 93)
American J. of Human Genetics     Hybrid Journal   (Followers: 32, SJR: 8.769, h-index: 256)
American J. of Infection Control     Hybrid Journal   (Followers: 25, SJR: 1.259, h-index: 81)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 31, SJR: 2.313, h-index: 172)
American J. of Medicine     Hybrid Journal   (Followers: 48, SJR: 2.023, h-index: 189)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 174, SJR: 2.255, h-index: 171)
American J. of Ophthalmology     Hybrid Journal   (Followers: 51, SJR: 2.803, h-index: 148)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 2)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.249, h-index: 88)
American J. of Otolaryngology     Hybrid Journal   (Followers: 22, SJR: 0.59, h-index: 45)
American J. of Pathology     Hybrid Journal   (Followers: 23, SJR: 2.653, h-index: 228)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 21, SJR: 2.764, h-index: 154)
American J. of Surgery     Hybrid Journal   (Followers: 32, SJR: 1.286, h-index: 125)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 13, SJR: 0.653, h-index: 70)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 5)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.066, h-index: 51)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 52, SJR: 0.124, h-index: 9)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 3)
Anales de Cirugia Vascular     Full-text available via subscription  
Anales de Pediatría     Full-text available via subscription   (Followers: 2, SJR: 0.209, h-index: 27)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription   (SJR: 0.104, h-index: 3)
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 2, SJR: 2.577, h-index: 7)
Analytica Chimica Acta     Hybrid Journal   (Followers: 38, SJR: 1.548, h-index: 152)
Analytical Biochemistry     Hybrid Journal   (Followers: 154, SJR: 0.725, h-index: 154)
Analytical Chemistry Research     Open Access   (Followers: 7, SJR: 0.18, h-index: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 10)
Anesthésie & Réanimation     Full-text available via subscription  
Anesthesiology Clinics     Full-text available via subscription   (Followers: 21, SJR: 0.421, h-index: 40)
Angiología     Full-text available via subscription   (SJR: 0.124, h-index: 9)
Angiologia e Cirurgia Vascular     Open Access  
Animal Behaviour     Hybrid Journal   (Followers: 143, SJR: 1.907, h-index: 126)
Animal Feed Science and Technology     Hybrid Journal   (Followers: 5, SJR: 1.151, h-index: 83)
Animal Reproduction Science     Hybrid Journal   (Followers: 5, SJR: 0.711, h-index: 78)
Annales d'Endocrinologie     Full-text available via subscription   (SJR: 0.394, h-index: 30)
Annales d'Urologie     Full-text available via subscription  
Annales de Cardiologie et d'Angéiologie     Full-text available via subscription   (SJR: 0.177, h-index: 13)
Annales de Chirurgie de la Main et du Membre Supérieur     Full-text available via subscription  
Annales de Chirurgie Plastique Esthétique     Full-text available via subscription   (Followers: 2, SJR: 0.354, h-index: 22)
Annales de Chirurgie Vasculaire     Full-text available via subscription   (Followers: 1)

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Journal Cover Advances in Mathematics
  [SJR: 3.261]   [H-I: 65]   [10 followers]  Follow
    
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 0001-8708 - ISSN (Online) 1090-2082
   Published by Elsevier Homepage  [3030 journals]
  • Subcritical approach to sharp Hardy–Littlewood–Sobolev type
           inequalities on the upper half space
    • Authors: Jingbo Dou; Qianqiao Guo; Meijun Zhu
      Pages: 1 - 45
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Jingbo Dou, Qianqiao Guo, Meijun Zhu
      In this paper we establish the reversed sharp Hardy–Littlewood–Sobolev (HLS for short) inequality on the upper half space and obtain a new HLS type integral inequality on the upper half space (extending an inequality found by Hang, Wang and Yan in [6]) by introducing a uniform approach. The extremal functions are classified via the method of moving spheres, and the best constants are computed. The new approach can also be applied to obtain the classical HLS inequality and other similar inequalities.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.007
      Issue No: Vol. 312 (2017)
       
  • Brill–Noether varieties of k-gonal curves
    • Authors: Nathan Pflueger
      Pages: 46 - 63
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Nathan Pflueger
      We consider a general curve of fixed gonality k and genus g. We propose an estimate ρ ‾ g , k ( d , r ) for the dimension of the variety W d r ( C ) of special linear series on C, by solving an analogous problem in tropical geometry. Using work of Coppens and Martens, we prove that this estimate is exactly correct if k ≥ 1 5 g + 2 , and is an upper bound in all other cases. We also completely characterize the cases in which W d r ( C ) has the same dimension as for a general curve of genus g.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.01.027
      Issue No: Vol. 312 (2017)
       
  • Crossed S-matrices and character sheaves on unipotent groups
    • Authors: Tanmay Deshpande
      Pages: 64 - 106
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Tanmay Deshpande
      Let k be the algebraic closure of a finite field F q of characteristic p. Let G be a connected unipotent group over k equipped with an F q -structure given by a Frobenius map F : G ⟶ G . We will denote the corresponding algebraic group defined over F q by G 0 . Character sheaves on G are certain special objects in the triangulated braided monoidal category D G ( G ) of bounded conjugation equivariant Q ‾ l -complexes (where l ≠ p is a prime number) on G. Boyarchenko has proved that the “trace of Frobenius” functions associated with F-stable character sheaves on G form an orthonormal basis of the space of class functions on G 0 ( F q ) and that the matrix relating this basis to the basis formed by the irreducible characters of G 0 ( F q ) is block diagonal with “small” blocks. In particular, there is a partition of the set of character sheaves as well as a partition of the set of irreducible characters of G 0 ( F q ) into “small” families known as L -packets. In this paper we describe these block matrices relating character sheaves and irreducible characters corresponding to each L -packet. We prove that these matrices can be described as certain “crossed S-matrices” associated with each L -packet. We will also derive a formula for the dimensions of the irreducible representations of G 0 ( F q ) in terms of certain modular categorical data associated with the corresponding L -packet. In fact we will formulate and prove more general results which hold for possibly disconnected groups G such that G ∘ is unipotent. To prove our results, we will establish a formula (which holds for any algebraic group G) which expresses the inner product of the “trace of Frobenius” function of any F-stable object of D G ( G ) with any character of G 0 ( F q ) (or of any of its pure inner forms) in terms of certain categorical operations.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.013
      Issue No: Vol. 312 (2017)
       
  • Essential bases and toric degenerations arising from birational sequences
    • Authors: Xin Fang; Ghislain Fourier; Peter Littelmann
      Pages: 107 - 149
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Xin Fang, Ghislain Fourier, Peter Littelmann
      We present a new approach to construct T-equivariant flat toric degenerations of flag varieties and spherical varieties, combining ideas coming from the theory of Newton–Okounkov bodies with ideas originally stemming from PBW-filtrations. For each pair ( S , > ) consisting of a birational sequence and a monomial order, we attach to the affine variety G / / U a monoid Γ = Γ ( S , > ) . As a side effect we get a vector space basis B Γ of C [ G / / U ] , the elements being indexed by Γ. The basis B Γ has multiplicative properties very similar to those of the dual canonical basis. This makes it possible to transfer the methods of Alexeev and Brion [1] to this more general setting, once one knows that the monoid Γ is finitely generated and saturated.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.014
      Issue No: Vol. 312 (2017)
       
  • Rationally isomorphic hermitian forms and torsors of some non-reductive
           groups
    • Authors: Eva Bayer-Fluckiger; Uriya A. First
      Pages: 150 - 184
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Eva Bayer-Fluckiger, Uriya A. First
      Let R be a semilocal Dedekind domain. Under certain assumptions, we show that two (not necessarily unimodular) hermitian forms over an R-algebra with involution, which are rationally isomorphic and have isomorphic semisimple coradicals, are in fact isomorphic. The same result is also obtained for quadratic forms equipped with an action of a finite group. The results have cohomological restatements that resemble the Grothendieck–Serre conjecture, except the group schemes involved are not reductive. We show that these group schemes are closely related to group schemes arising in Bruhat–Tits theory.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.012
      Issue No: Vol. 312 (2017)
       
  • Finite topology minimal surfaces in homogeneous three-manifolds
    • Authors: William H. Meeks; Joaquín Pérez
      Pages: 185 - 197
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): William H. Meeks, Joaquín Pérez
      We prove that any complete, embedded minimal surface M with finite topology in a homogeneous three-manifold N has positive injectivity radius. When one relaxes the condition that N be homogeneous to that of being locally homogeneous, then we show that the closure of M has the structure of a minimal lamination of N. As an application of this general result we prove that any complete, embedded minimal surface with finite genus and a countable number of ends is compact when the ambient space is S 3 equipped with a homogeneous metric of nonnegative scalar curvature.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.015
      Issue No: Vol. 312 (2017)
       
  • A refined notion of arithmetically equivalent number fields, and curves
           with isomorphic Jacobians
    • Authors: Dipendra Prasad
      Pages: 198 - 208
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Dipendra Prasad
      We construct examples of number fields which are not isomorphic but for which their adele groups, the idele groups, and the idele class groups are isomorphic. We also construct examples of projective algebraic curves which are not isomorphic but for which their Jacobian varieties are isomorphic. Both are constructed using an example in group theory provided by Leonard Scott of a finite group G and subgroups H 1 and H 2 which are not conjugate in G but for which the G-module Z [ G / H 1 ] is isomorphic to Z [ G / H 2 ] .

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.017
      Issue No: Vol. 312 (2017)
       
  • Exactness of locally compact groups
    • Authors: Jacek Brodzki; Chris Cave; Kang Li
      Pages: 209 - 233
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Jacek Brodzki, Chris Cave, Kang Li
      We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact second countable group is exact if and only if it admits a topologically amenable action on a compact Hausdorff space. This answers an open question by Anantharaman-Delaroche.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.020
      Issue No: Vol. 312 (2017)
       
  • Boutet de Monvel operators on Lie manifolds with boundary
    • Authors: Karsten Bohlen
      Pages: 234 - 285
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Karsten Bohlen
      We introduce and study a general pseudodifferential calculus for boundary value problems on a class of non-compact manifolds with boundary (so-called Lie manifolds with boundary). This is accomplished by constructing a suitable generalization of the Boutet de Monvel calculus for boundary value problems. The data consists of a compact manifold with corners M that is endowed with a Lie structure of vector fields 2 V , a so-called Lie manifold. The manifold M is split into two equal parts X + and X − which intersect in an embedded hypersurface Y ⊂ X ± . Our goal is to describe a transmission Boutet de Monvel calculus for boundary value problems compatible with the structure of Lie manifolds. Starting with the example of b-vector fields, we show that there are two groupoids integrating the Lie structures on M and on Y, respectively. These two groupoids form a bibundle (or a groupoid correspondence) and, under some mild assumptions, these groupoids are Morita equivalent. With the help of the bibundle structure and canonically defined manifolds with corners, which are blow-ups in particular cases, we define a class of Boutet de Monvel type operators. We then define the representation homomorphism for these operators and show closedness under composition with the help of a representation theorem. Finally, we consider appropriate Fredholm conditions and construct the parametrices for elliptic operators in the calculus.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.021
      Issue No: Vol. 312 (2017)
       
  • Transformation and decomposition of clutters into matroids
    • Authors: Jaume Martí-Farré; Anna de Mier
      Pages: 286 - 314
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Jaume Martí-Farré, Anna de Mier
      A clutter is a family of mutually incomparable sets. The set of circuits of a matroid, its set of bases, and its set of hyperplanes are examples of clutters arising from matroids. In this paper we address the question of determining which are the matroidal clutters that best approximate an arbitrary clutter Λ. For this, we first define two orders under which to compare clutters, which give a total of four possibilities for approximating Λ (i.e., above or below with respect to each order); in fact, we actually consider the problem of approximating Λ with clutters from any collection of clutters Σ, not necessarily arising from matroids. We show that, under some mild conditions, there is a finite non-empty set of clutters from Σ that are the closest to Λ and, moreover, that Λ is uniquely determined by them, in the sense that it can be recovered using a suitable clutter operation. We then particularize these results to the case where Σ is a collection of matroidal clutters and give algorithmic procedures to compute these clutters.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.022
      Issue No: Vol. 312 (2017)
       
  • The relativistic Boltzmann equation for soft potentials
    • Authors: Renjun Duan; Hongjun Yu
      Pages: 315 - 373
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Renjun Duan, Hongjun Yu
      The paper concerns the Cauchy problem on the relativistic Boltzmann equation for soft potentials in a periodic box. We show that the global-in-time solutions around relativistic Maxwellians exist in the weighted L ∞ perturbation framework and also approach equilibrium states in large time in the weighted L 2 framework at the rate of exp ⁡ ( − λ t β ) for some λ > 0 and β ∈ ( 0 , 1 ) . The proof is based on the nonlinear L 2 energy method and nonlinear L ∞ pointwise estimate with appropriate exponential weights in momentum. The results extend those on the classical Boltzmann equation by Caflisch [2,3] and Strain and Guo [31] to the relativistic version, and also improve the recent result on almost exponential time-decay by Strain [28] to the exponential rate. Moreover, we study the propagation of spatial regularity for the obtained solutions and also the large time behavior in the corresponding regular Sobolev space, provided that the spatial derivatives of initial data are bounded, not necessarily small.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.018
      Issue No: Vol. 312 (2017)
       
  • On random linear dynamical systems in a Banach space. I. Multiplicative
           Ergodic Theorem and Krein–Rutman type Theorems
    • Authors: Zeng Lian; Yi Wang
      Pages: 374 - 424
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Zeng Lian, Yi Wang
      For linear random dynamical systems in a separable Banach space X, we derived a series of Krein–Rutman type Theorems with respect to co-invariant cone family with rank-k, which present a (quasi)-equivalence relation between the measurably co-invariant cone family and the measurably dominated splitting of X. Moreover, such (quasi)-equivalence relation turns out to be an equivalence relation whenever (i) k = 1 ; or (ii) in the frame of the Multiplicative Ergodic Theorem with certain Lyapunov exponent being greater than the negative infinity. For the second case, we thoroughly investigated the relations between the Lyapunov exponents, the co-invariant cone family and the measurably dominated splitting for linear random dynamical systems in X.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.024
      Issue No: Vol. 312 (2017)
       
  • Quantum and affine Schubert calculus and Macdonald polynomials
    • Authors: Avinash J. Dalal; Jennifer Morse
      Pages: 425 - 458
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Avinash J. Dalal, Jennifer Morse
      We definitively establish that the theory of symmetric Macdonald polynomials aligns with quantum and affine Schubert calculus using a discovery that distinguished weak chains can be identified by chains in the strong (Bruhat) order poset on the type-A affine Weyl group. We construct two one-parameter families of functions that respectively transition positively with Hall–Littlewood and Macdonald's P-functions, and specialize to the representatives for Schubert classes of homology and cohomology of the affine Grassmannian. Our approach leads us to conjecture that all elements in a defining set of 3-point genus 0 Gromov–Witten invariants for flag manifolds can be formulated as strong covers.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.011
      Issue No: Vol. 312 (2017)
       
  • Locally toroidal polytopes of rank 6 and sporadic groups
    • Authors: Dmitrii V. Pasechnik
      Pages: 459 - 472
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Dmitrii V. Pasechnik
      We augment the list of finite universal locally toroidal regular polytopes of type { 3 , 3 , 4 , 3 , 3 } due to P. McMullen and E. Schulte, adding as well as removing entries. This disproves a related long-standing conjecture. Our new universal polytope is related to a well-known Y-shaped presentation for the sporadic simple group Fi 22 , and admits S 4 × O 8 + ( 2 ) : S 3 as the automorphism group. We also discuss further extensions of its quotients in the context of Y-shaped presentations. As well, we note that two known examples of finite universal polytopes of type { 3 , 3 , 4 , 3 , 3 } are related to Y-shaped presentations of orthogonal groups over F 2 . Mixing construction is used in a number of places to describe covers and 2-covers.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.029
      Issue No: Vol. 312 (2017)
       
  • Embeddings of operator ideals into Lp-spaces on finite von Neumann
           algebras
    • Authors: M. Junge; F. Sukochev; D. Zanin
      Pages: 473 - 546
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): M. Junge, F. Sukochev, D. Zanin
      Let L ( H ) be the ⁎-algebra of all bounded operators on an infinite dimensional Hilbert space H and let ( I , ‖ ⋅ ‖ I ) be an ideal in L ( H ) equipped with a Banach norm which is distinct from the Schatten–von Neumann ideal L p ( H ) , 1 ≤ p < 2 . We prove that I isomorphically embeds into an L p -space L p ( R ) , 1 ≤ p < 2 (here, R is the hyperfinite II1-factor) if its commutative core (that is, Calkin space for I ) isomorphically embeds into L p ( 0 , 1 ) . Furthermore, we prove that an Orlicz ideal L M ( H ) ≠ L p ( H ) isomorphically embeds into L p ( R ) , 1 ≤ p < 2 , if and only if it is an interpolation space for the Banach couple ( L p ( H ) , L 2 ( H ) ) . Finally, we consider isomorphic embeddings of ( I , ‖ ⋅ ‖ I ) into L p -spaces associated with arbitrary finite von Neumann algebras.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.031
      Issue No: Vol. 312 (2017)
       
  • Energy gap for Yang–Mills connections, II: Arbitrary closed
           Riemannian manifolds
    • Authors: Paul M.N. Feehan
      Pages: 547 - 587
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Paul M.N. Feehan
      We prove an L d / 2 energy gap result for Yang–Mills connections on principal G-bundles, P, over arbitrary, closed, Riemannian, smooth manifolds of dimension d ≥ 2 . We apply our version of the Łojasiewicz–Simon gradient inequality [16,19] to remove a positivity constraint on a combination of the Ricci and Riemannian curvatures in a previous L d / 2 -energy gap result due to Gerhardt [23, Theorem 1.2] and a previous L ∞ -energy gap result due to Bourguignon, Lawson, and Simons [10, Theorem C], [11, Theorem 5.3], as well as an L 2 -energy gap result due to Nakajima [42, Corollary 1.2] for a Yang–Mills connection over the sphere, S d , but with an arbitrary Riemannian metric.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.023
      Issue No: Vol. 312 (2017)
       
  • Moduli stacks of Serre stable representations in tilting theory
    • Authors: Daniel Chan; Boris Lerner
      Pages: 588 - 635
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Daniel Chan, Boris Lerner
      We introduce a new moduli stack, called the Serre stable moduli stack, which corresponds to studying families of point objects in an abelian category with a Serre functor. This allows us in particular, to re-interpret the classical derived equivalence between most concealed-canonical algebras and weighted projective lines by showing they are induced by the universal sheaf on the Serre stable moduli stack. We explain why the method works by showing that the Serre stable moduli stack is the tautological moduli problem that allows one to recover certain nice stacks such as weighted projective lines from their moduli of sheaves. As a result, this new stack should be of interest in both representation theory and algebraic geometry.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.027
      Issue No: Vol. 312 (2017)
       
  • Multiplicativity of perverse filtration for Hilbert schemes of fibered
           surfaces
    • Authors: Zili Zhang
      Pages: 636 - 679
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Zili Zhang
      Let S → C be a smooth projective surface with numerically trivial canonical bundle fibered onto a curve. We prove the multiplicativity of the perverse filtration with respect to the cup product on H ⁎ ( S [ n ] , Q ) for the natural morphism S [ n ] → C ( n ) . We also prove the multiplicativity for five families of Hitchin systems obtained in a similar way and compute the perverse numbers of the Hitchin moduli spaces. We show that for small values of n the perverse numbers match the predictions of the numerical version of the de Cataldo–Hausel–Migliorini P = W conjecture and of the conjecture by Hausel, Letellier and Rodriguez-Villegas.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.028
      Issue No: Vol. 312 (2017)
       
  • Spherical subgroups of Kac–Moody groups and transitive actions on
           spherical varieties
    • Authors: Guido Pezzini
      Pages: 680 - 736
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): Guido Pezzini
      We define and study spherical subgroups of finite type of a Kac–Moody group. In analogy with the standard theory of spherical varieties, we introduce a combinatorial object associated with such a subgroup, its homogeneous spherical datum, and we prove that it satisfies the same axioms as in the finite-dimensional case. Our main tool is a study of varieties that are spherical under the action of a connected reductive group L, and come equipped with a transitive action of a group containing L as a Levi subgroup.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.019
      Issue No: Vol. 312 (2017)
       
  • Topological size of some subsets in certain
           Calderón–Lozanowskiĭ spaces
    • Authors: I. Akbarbaglu; S. Gła̧b; S. Maghsoudi; F. Strobin
      Pages: 737 - 763
      Abstract: Publication date: 25 May 2017
      Source:Advances in Mathematics, Volume 312
      Author(s): I. Akbarbaglu, S. Gła̧b, S. Maghsoudi, F. Strobin
      For i = 1 , 2 , 3 , let φ i be Young functions, ( Ω , μ ) a (topological) measure space, E an ideal of μ-measurable complex-valued functions defined on Ω and E φ i be the corresponding Calderón–Lozanowskiĭ space. Our aim in this paper is to give, under mild conditions, several results on topological size (in the sense of Baire) of the sets { ( f , g ) ∈ E φ 1 × E φ 2 : f ⨀ g ∈ E φ 3 } and { ( f , g ) ∈ E φ 1 × E φ 2 : ∃ x ∈ V , ( f ⨀ g ) ( x )  is well defined } where ⨀ denotes the convolution or pointwise product of functions and V a compact neighborhood. Our results sharpen and unify the related results obtained in diverse areas during recent thirty years.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.033
      Issue No: Vol. 312 (2017)
       
  • A topological transformation group without non-trivial equivariant
           compactifications
    • Authors: Vladimir G. Pestov
      Pages: 1 - 17
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Vladimir G. Pestov
      There is a countable metrizable group acting continuously on the space of rationals in such a way that the only equivariant compactification of the space is a singleton. This is obtained by a recursive application of a construction due to Megrelishvili, which is a metric fan equipped with a certain group of homeomorphisms. The question of existence of a topological transformation group with the property in the title was asked by Yu.M. Smirnov in the 1980s.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.023
      Issue No: Vol. 311 (2017)
       
  • Linear stability of compressible vortex sheets in two-dimensional
           elastodynamics
    • Authors: Robin Ming Chen; Jilong Hu; Dehua Wang
      Pages: 18 - 60
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Robin Ming Chen, Jilong Hu, Dehua Wang
      The linear stability of rectilinear compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary and the boundary is characteristic. A necessary and sufficient condition is obtained for the linear stability of the rectilinear vortex sheets. More precisely, it is shown that, besides the stable supersonic zone, the elasticity exerts an additional stable subsonic zone. We also find that there is a class of states in the interior of subsonic zone where the stability of such states is weaker than the stability of other states in the sense that there is an extra loss of tangential derivatives with respect to the source terms. This is a new feature that the Euler flow does not possess. One of the difficulties for the elastic flow is that the non-differentiable points of the eigenvalues may coincide with the roots of the Lopatinskii determinant. As a result, the Kreiss symmetrization cannot be applied directly. Instead, we perform an upper triangularization of the system to separate only the outgoing modes at all points in the frequency space, so that an exact estimate of the outgoing modes can be obtained. Moreover, all the outgoing modes are shown to be zero due to the L 2 -regularity of solutions. The estimates for the incoming modes can be derived directly from the Lopatinskii determinant. This new approach avoids the lengthy computation and estimates for the outgoing modes when Kreiss symmetrization is applied. This method can also be applied to the Euler flow and MHD flow.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.014
      Issue No: Vol. 311 (2017)
       
  • Semisimple Hopf algebras via geometric invariant theory
    • Authors: Ehud Meir
      Pages: 61 - 90
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Ehud Meir
      We study Hopf algebras via tools from geometric invariant theory. We show that all the invariants we get can be constructed using the integrals of the Hopf algebra and its dual together with the multiplication and the comultiplication, and that these invariants determine the isomorphism class of the Hopf algebra. We then define certain canonical subspaces I n v i , j of tensor powers of H and H ⁎ , and use the invariant theory to prove that these subspaces satisfy a certain non-degeneracy condition. Using this non-degeneracy condition together with results on symmetric monoidal categories, we prove that the spaces I n v i , j can also be described as ( H ⊗ i ⊗ ( H ⁎ ) ⊗ j ) A , where A is the group of Hopf automorphisms of H. As a result we prove that the number of possible Hopf orders of any semisimple Hopf algebra over a given number ring is finite. We give some examples of these invariants arising from the theory of Frobenius–Schur Indicators, and from Reshetikhin–Turaev invariants of three manifolds. We give a complete description of the invariants for a group algebra, proving that they all encode the number of homomorphisms from some finitely presented group to the group. We also show that if all the invariants are algebraic integers, then the Hopf algebra satisfies Kaplansky's sixth conjecture: the dimensions of the irreducible representations of H divide the dimension of H.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.020
      Issue No: Vol. 311 (2017)
       
  • Dimensional homotopy t-structures in motivic homotopy theory
    • Authors: Mikhail Bondarko; Frédéric Déglise
      Pages: 91 - 189
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Mikhail Bondarko, Frédéric Déglise
      The aim of this work is to construct certain homotopy t-structures on various categories of motivic homotopy theory, extending works of Voevodsky, Morel, Déglise and Ayoub. We prove these t-structures possess many good properties, some analogous to those of the perverse t-structure of Beilinson, Bernstein and Deligne. We compute the homology of certain motives, notably in the case of relative curves. We also show that the hearts of these t-structures provide convenient extensions of the theory of homotopy invariant sheaves with transfers, extending some of the main results of Voevodsky. These t-structures are closely related to Gersten weight structures as defined by Bondarko.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.003
      Issue No: Vol. 311 (2017)
       
  • Differentiability of Lq-spectrum and multifractal decomposition by using
           infinite graph-directed IFSs
    • Authors: Guotai Deng; Sze-Man Ngai
      Pages: 190 - 237
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Guotai Deng, Sze-Man Ngai
      By constructing an infinite graph-directed iterated function system associated with a finite iterated function system, we develop a new approach for proving the differentiability of the L q -spectrum and establishing the multifractal formalism of certain self-similar measures with overlaps, especially those defined by similitudes with different contraction ratios. We apply our technique to a well-known class of self-similar measures of generalized finite type.

      PubDate: 2017-03-05T13:58:42Z
      DOI: 10.1016/j.aim.2017.02.021
      Issue No: Vol. 311 (2017)
       
  • On Fujita's spectrum conjecture
    • Authors: Gabriele Di Cerbo
      Pages: 238 - 248
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Gabriele Di Cerbo
      We prove Fujita's spectrum conjecture on the discreteness of pseudo-effective thresholds for polarized varieties.

      PubDate: 2017-03-10T14:10:08Z
      DOI: 10.1016/j.aim.2017.02.018
      Issue No: Vol. 311 (2017)
       
  • Möbius curvature, Laguerre curvature and Dupin hypersurface
    • Authors: Tongzhu Li; Jie Qing; Changping Wang
      Pages: 249 - 294
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Tongzhu Li, Jie Qing, Changping Wang
      In this paper we show that a Dupin hypersurface with constant Möbius curvatures is Möbius equivalent to either an isoparametric hypersurface in the sphere or a cone over an isoparametric hypersurface in a sphere. We also show that a Dupin hypersurface with constant Laguerre curvatures is Laguerre equivalent to a flat Laguerre isoparametric hypersurface. These results solve the major issues related to the conjectures of Cecil et al. on the classification of Dupin hypersurfaces.

      PubDate: 2017-03-10T14:10:08Z
      DOI: 10.1016/j.aim.2017.02.024
      Issue No: Vol. 311 (2017)
       
  • Zeta functions and oscillatory integrals for meromorphic functions
    • Authors: Willem Veys; W. A. Zúñiga-Galindo
      Pages: 295 - 337
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Willem Veys, W. A. Zúñiga-Galindo
      In the 70's Igusa developed a uniform theory for local zeta functions and oscillatory integrals attached to polynomials with coefficients in a local field of characteristic zero. In the present article this theory is extended to the case of rational functions, or, more generally, meromorphic functions f / g , with coefficients in a local field of characteristic zero. This generalization is far from being straightforward due to the fact that several new geometric phenomena appear. Also, the oscillatory integrals have two different asymptotic expansions: the ‘usual’ one when the norm of the parameter tends to infinity, and another one when the norm of the parameter tends to zero. The first asymptotic expansion is controlled by the poles (with negative real parts) of all the twisted local zeta functions associated to the meromorphic functions f / g − c , for certain special values c. The second expansion is controlled by the poles (with positive real parts) of all the twisted local zeta functions associated to f / g .

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.022
      Issue No: Vol. 311 (2017)
       
  • Horoballs and iteration of holomorphic maps on bounded symmetric domains
    • Authors: Cho-Ho Chu; Michael Rigby
      Pages: 338 - 377
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Cho-Ho Chu, Michael Rigby
      Given a fixed-point free compact holomorphic self-map f on a bounded symmetric domain D, which may be infinite dimensional, we establish the existence of a family { H ( ξ , λ ) } λ > 0 of convex f-invariant domains at a point ξ in the boundary ∂D of D, which generalises completely Wolff's theorem for the open unit disc in C . Further, we construct horoballs at ξ and show that they are exactly the f-invariant domains when D is of finite rank. Consequently, we show in the latter case that the limit functions of the iterates ( f n ) with weakly closed range all accumulate in one single boundary component of ∂D.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.029
      Issue No: Vol. 311 (2017)
       
  • A perspective on non-commutative frame theory
    • Authors: Ganna Kudryavtseva; Mark V. Lawson
      Pages: 378 - 468
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Ganna Kudryavtseva, Mark V. Lawson
      This paper extends the fundamental results of frame theory to a non-commutative setting where the role of locales is taken over by étale localic categories. This involves ideas from quantale theory and from semigroup theory, specifically Ehresmann semigroups, restriction semigroups and inverse semigroups. We prove several main results. To start with, we establish a duality between the category of complete restriction monoids and the category of étale localic categories. The relationship between monoids and categories is mediated by a class of quantales called restriction quantal frames. This result builds on the work of Pedro Resende on the connection between pseudogroups and étale localic groupoids but in the process we both generalize and simplify: for example, we do not require involutions and, in addition, we render his result functorial. A wider class of quantales, called multiplicative Ehresmann quantal frames, is put into a correspondence with those localic categories where the multiplication structure map is semiopen, and all the other structure maps are open. We also project down to topological spaces and, as a result, extend the classical adjunction between locales and topological spaces to an adjunction between étale localic categories and étale topological categories. In fact, varying morphisms, we obtain several adjunctions. Just as in the commutative case, we restrict these adjunctions to spatial-sober and coherent-spectral equivalences. The classical equivalence between coherent frames and distributive lattices is extended to an equivalence between coherent complete restriction monoids and distributive restriction semigroups. Consequently, we deduce several dualities between distributive restriction semigroups and spectral étale topological categories. We also specialize these dualities for the setting where the topological categories are cancellative or are groupoids. Our approach thus links, unifies and extends the approaches taken in the work by Lawson and Lenz and by Resende.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.028
      Issue No: Vol. 311 (2017)
       
  • Ricci curvature of double manifolds via isoparametric foliations
    • Authors: ChiaKuei Peng; Chao Qian
      Pages: 469 - 480
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): ChiaKuei Peng, Chao Qian
      Given a closed manifold M and a vector bundle ξ of rank n over M, by gluing two copies of the disc bundle of ξ, we can obtain a closed manifold D ( ξ , M ) , the so-called double manifold. In this paper, we firstly prove that each sphere bundle S r ( ξ ) of radius r > 0 is an isoparametric hypersurface in the total space of ξ equipped with a connection metric, and for r > 0 small enough, the induced metric of S r ( ξ ) has positive Ricci curvature under the additional assumptions that M has a metric with positive Ricci curvature and n ≥ 3 . As an application, if M admits a metric with positive Ricci curvature and n ≥ 2 , then we construct a metric with positive Ricci curvature on D ( ξ , M ) . Moreover, under the same metric, D ( ξ , M ) admits a natural isoparametric foliation. For a compact minimal isoparametric hypersurface Y n in S n + 1 ( 1 ) , which separates S n + 1 ( 1 ) into S + n + 1 and S − n + 1 , one can get double manifolds D ( S + n + 1 ) and D ( S − n + 1 ) . Inspired by Tang, Xie and Yan's work on scalar curvature of such manifolds with isoparametric foliations (cf. [25]), we study Ricci curvature of them with isoparametric foliations in the last part.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.001
      Issue No: Vol. 311 (2017)
       
  • Estimates and trace formulas for unitary and resolvent comparable
           perturbations
    • Authors: Anna Skripka
      Pages: 481 - 509
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Anna Skripka
      We prove estimates for Schatten norms of multiple operator integrals with symbols arising from Fourier series and, as a consequence, derive higher order trace formulas for functions given by absolutely convergent Fourier series of unitary operators and for rational functions bounded on the real line of resolvent comparable self-adjoint operators. These results substantially extend the main results of [12,14,13], where the estimates were proved for multiple operator integrals with symbols arising from polynomials, the trace formulas in the unitary case for analytic functions on the unit disc, and the trace formulas in the resolvent comparable self-adjoint case for rational functions bounded and analytic in the lower half-plane. Our results rely crucially on an algebraic approach to symbols of multiple operator integrals developed in this paper to replace the prior restrictive analytic approach of [12].

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.026
      Issue No: Vol. 311 (2017)
       
  • Higher Souslin trees and the GCH, revisited
    • Authors: Assaf Rinot
      Pages: 510 - 531
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Assaf Rinot
      It is proved that for every uncountable cardinal λ, GCH + □ ( λ + ) entails the existence of a cf ( λ ) -complete λ + -Souslin tree. In particular, if GCH holds and there are no ℵ 2 -Souslin trees, then ℵ 2 is weakly compact in Gödel's constructible universe, improving Gregory's 1976 lower bound. Furthermore, it follows that if GCH holds and there are no ℵ 2 and ℵ 3 Souslin trees, then the Axiom of Determinacy holds in L ( R ) .

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.002
      Issue No: Vol. 311 (2017)
       
  • Positivity and periodicity of Q-systems in the WZW fusion ring
    • Authors: Chul-hee Lee
      Pages: 532 - 568
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Chul-hee Lee
      We study properties of solutions of Q-systems in the WZW fusion ring obtained by the Kirillov–Reshetikhin modules. We make a conjecture about their positivity and periodicity and give a proof of it in some cases. We also construct a positive solution of the level k restricted Q-system of classical types in the fusion rings. As an application, we prove some conjectures of Kirillov and Kuniba–Nakanishi–Suzuki on the level k restricted Q-systems.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.031
      Issue No: Vol. 311 (2017)
       
  • Renormalized oscillation theory for Hamiltonian systems
    • Authors: Fritz Gesztesy; Maxim Zinchenko
      Pages: 569 - 597
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Fritz Gesztesy, Maxim Zinchenko
      We extend a result on renormalized oscillation theory, originally derived for Sturm–Liouville and Dirac-type operators on arbitrary intervals in the context of scalar coefficients, to the case of general Hamiltonian systems with block matrix coefficients. In particular, this contains the cases of general Sturm–Liouville and Dirac-type operators with block matrix-valued coefficients as special cases. The principal feature of these renormalized oscillation theory results consists in the fact that by replacing solutions by appropriate Wronskians of solutions, oscillation theory now applies to intervals in essential spectral gaps where traditional oscillation theory typically fails.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.005
      Issue No: Vol. 311 (2017)
       
  • Cambrian Hopf algebras
    • Authors: Grégory Chatel; Vincent Pilaud
      Pages: 598 - 633
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Grégory Chatel, Vincent Pilaud
      Cambrian trees are oriented and labeled trees which fulfill local conditions around each node generalizing the classical conditions for binary search trees. Similar to binary trees for the Tamari lattice, Cambrian trees provide convenient combinatorial models for N. Reading's Cambrian lattices of type A. Based on a natural surjection from signed permutations to Cambrian trees, we define the Cambrian Hopf algebra extending J.-L. Loday and M. Ronco's algebra on binary trees. We describe combinatorially the products and coproducts of both the Cambrian algebra and its dual in terms of operations on Cambrian trees. We then construct the Baxter–Cambrian algebra which extends S. Law and N. Reading's Baxter Hopf algebra on rectangulations and S. Giraudo's equivalent Hopf algebra on twin binary trees.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.027
      Issue No: Vol. 311 (2017)
       
  • Explicit Salem sets in R2
    • Authors: Kyle Hambrook
      Pages: 634 - 648
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Kyle Hambrook
      We construct explicit (i.e., non-random) examples of Salem sets in R 2 of dimension s for every 0 ≤ s ≤ 2 . In particular, we give the first explicit examples of Salem sets in R 2 of dimension 0 < s < 1 . This extends a theorem of Kaufman.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.009
      Issue No: Vol. 311 (2017)
       
  • All complete intersection varieties are Fano visitors
    • Authors: Young-Hoon Kiem; In-Kyun Kim; Hwayoung Lee; Kyoung-Seog Lee
      Pages: 649 - 661
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Young-Hoon Kiem, In-Kyun Kim, Hwayoung Lee, Kyoung-Seog Lee
      We prove that the derived category of a smooth complete intersection variety is equivalent to a full subcategory of the derived category of a smooth projective Fano variety. This enables us to define a new invariant of smooth projective varieties and raise many interesting questions.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.030
      Issue No: Vol. 311 (2017)
       
  • Cyclotomic Yokonuma–Hecke algebras are cyclotomic quiver Hecke
           algebras
    • Authors: Salim Rostam
      Pages: 662 - 729
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Salim Rostam
      We prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras. The quiver we use is given by disjoint copies of cyclic quivers. We relate this work to an isomorphism of Lusztig.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.004
      Issue No: Vol. 311 (2017)
       
  • On dimensions of groups with cocompact classifying spaces for proper
           actions
    • Authors: Ian J. Leary; Nansen Petrosyan
      Pages: 730 - 747
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Ian J. Leary, Nansen Petrosyan
      We construct groups G that are virtually torsion-free and have virtual cohomological dimension strictly less than the minimal dimension for any model for E _ G , the classifying space for proper actions of G. They are the first examples that have these properties and also admit cocompact models for E _ G . We exhibit groups G whose virtual cohomological dimension and Bredon cohomological dimension are two that do not admit any 2-dimensional contractible proper G-CW-complex.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.008
      Issue No: Vol. 311 (2017)
       
  • Higher regularity of the free boundary in the obstacle problem for the
           fractional Laplacian
    • Authors: Yash Jhaveri; Robin Neumayer
      Pages: 748 - 795
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Yash Jhaveri, Robin Neumayer
      We prove a higher regularity result for the free boundary in the obstacle problem for the fractional Laplacian via a higher order boundary Harnack estimate.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.006
      Issue No: Vol. 311 (2017)
       
  • Kinematic formulas for sets defined by differences of convex functions
    • Authors: Joseph H.G. Fu; Dušan Pokorný; Jan Rataj
      Pages: 796 - 832
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Joseph H.G. Fu, Dušan Pokorný, Jan Rataj
      The class WDC ( M ) consists of all subsets of a smooth manifold M that may be expressed in local coordinates as sufficiently regular sublevel sets of DC (differences of convex) functions. If M is Riemannian and G is a group of isometries acting transitively on the sphere bundle SM, we define the invariant curvature measures of compact WDC subsets of M, and show that pairs of such subsets are subject to the array of kinematic formulas known to apply to smoother sets. Restricting to the case ( M , G ) = ( R d , S O ( d ) ‾ ) , this extends and subsumes Federer's theory of sets with positive reach in an essential way. The key technical point is equivalent to a sharpening of a classical theorem of Ewald, Larman, and Rogers characterizing the dimension of the set of directions of line segments lying in the boundary of a given convex body.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.003
      Issue No: Vol. 311 (2017)
       
  • A modular analogue of Morozov's theorem on maximal subalgebras of simple
           Lie algebras
    • Authors: Alexander Premet
      Pages: 833 - 884
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Alexander Premet
      Let G be a simple algebraic group over an algebraically closed field of characteristic p > 0 and suppose that p is a very good prime for G. In this paper we prove that any maximal Lie subalgebra M of g = Lie ( G ) with rad ( M ) ≠ 0 has the form M = Lie ( P ) for some maximal parabolic subgroup P of G. This means that Morozov's theorem on maximal subalgebras is valid under mild assumptions on G. We show that such assumptions are necessary by providing a counterexample to Morozov's theorem for groups of type E 8 over fields of characteristic 5. Our proof relies on the main results and methods of the classification theory of finite dimensional simple Lie algebras over fields of prime characteristic.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.011
      Issue No: Vol. 311 (2017)
       
  • Discrete Riemann surfaces based on quadrilateral cellular decompositions
    • Authors: Alexander I. Bobenko; Felix Günther
      Pages: 885 - 932
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Alexander I. Bobenko, Felix Günther
      Our aim in this paper is to provide a theory of discrete Riemann surfaces based on quadrilateral cellular decompositions of Riemann surfaces together with their complex structure encoded by complex weights. Previous work, in particular of Mercat, mainly focused on real weights corresponding to quadrilateral cells having orthogonal diagonals. We discuss discrete coverings, discrete exterior calculus, and discrete Abelian differentials. Our presentation includes several new notions and results such as branched coverings of discrete Riemann surfaces, the discrete Riemann–Hurwitz Formula, double poles of discrete one-forms and double values of discrete meromorphic functions that enter the discrete Riemann–Roch Theorem, and a discrete Abel–Jacobi map.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.03.010
      Issue No: Vol. 311 (2017)
       
  • Corrigendum to “Algebraic and transcendental formulas for the smallest
           parts function” [Adv. Math. 289 (2016) 411–437]
    • Authors: Scott Ahlgren; Nickolas Andersen
      Pages: 933 - 934
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Scott Ahlgren, Nickolas Andersen


      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.01.014
      Issue No: Vol. 311 (2017)
       
  • Corrigendum to “Cohomological finite-generation for finite supergroup
           schemes” [Adv. Math. 288 (2016) 1360–1432]
    • Authors: Christopher M. Drupieski
      Pages: 935 - 937
      Abstract: Publication date: 30 April 2017
      Source:Advances in Mathematics, Volume 311
      Author(s): Christopher M. Drupieski
      The main theorem of the author's article Drupieski (2016) [2] is proved by way of verifying Conjecture 5.4.1 of the author's earlier work Drupieski (2013) [1]. However, the aforementioned conjecture does not make sense as written. The purpose of this note is to give a formulation of the conjecture that does make sense, and then to describe the required modifications to its proof.

      PubDate: 2017-04-09T17:54:21Z
      DOI: 10.1016/j.aim.2017.02.025
      Issue No: Vol. 311 (2017)
       
 
 
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