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Publisher: Elsevier   (Total: 3044 journals)

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Showing 1 - 200 of 3044 Journals sorted alphabetically
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 22, SJR: 1.402, h-index: 51)
Academic Radiology     Hybrid Journal   (Followers: 20, SJR: 1.008, h-index: 75)
Accident Analysis & Prevention     Partially Free   (Followers: 84, SJR: 1.109, h-index: 94)
Accounting Forum     Hybrid Journal   (Followers: 23, 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: 340, 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   (Followers: 1)
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: 212, 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: 10, 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: 23, SJR: 1.365, h-index: 73)
Acta Sociológica     Open Access  
Acta Tropica     Hybrid Journal   (Followers: 6, 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: 4, 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: 3)
Acute Pain     Full-text available via subscription   (Followers: 13)
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: 21)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 135, 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: 17, SJR: 0.739, h-index: 33)
Advances in Accounting     Hybrid Journal   (Followers: 9, 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: 25, 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: 22, 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: 25, 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: 25, 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: 10, 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 Dermatology     Full-text available via subscription   (Followers: 12)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 5)
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: 41, 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: 40, SJR: 5.465, h-index: 64)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 48, SJR: 0.674, h-index: 38)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 15)
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: 21, 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 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: 35, 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: 6)
Advances in Life Course Research     Hybrid Journal   (Followers: 8, SJR: 0.764, h-index: 15)
Advances in Lipobiology     Full-text available via subscription   (Followers: 2)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Marine Biology     Full-text available via subscription   (Followers: 15, 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: 6, 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: 22)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 10)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 7, SJR: 0.324, h-index: 8)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 4)
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: 24, SJR: 0.4, h-index: 28)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 13)
Advances in Pharmacology     Full-text available via subscription   (Followers: 15, 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: 19, SJR: 1.5, h-index: 62)
Advances in Psychology     Full-text available via subscription   (Followers: 61)
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: 2, SJR: 0.1, h-index: 2)
Advances in Space Research     Full-text available via subscription   (Followers: 350, SJR: 0.606, h-index: 65)
Advances in Structural Biology     Full-text available via subscription   (Followers: 8)
Advances in Surgery     Full-text available via subscription   (Followers: 7, SJR: 0.823, h-index: 27)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 30, SJR: 1.321, h-index: 56)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 16)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 13)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 1.878, h-index: 68)
Advances in Water Resources     Hybrid Journal   (Followers: 43, 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: 318, 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: 5, SJR: 0.344, h-index: 6)
Ageing Research Reviews     Hybrid Journal   (Followers: 8, SJR: 3.289, h-index: 78)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 406, 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: 30, SJR: 1.275, h-index: 74)
Agricultural Water Management     Hybrid Journal   (Followers: 38, 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: 54, 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: 5, 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: 7)
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: 8, 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: 4, SJR: 0.776, h-index: 35)
Alpha Omegan     Full-text available via subscription   (SJR: 0.121, h-index: 9)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 7, SJR: 0.158, h-index: 9)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 47, 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: 48, SJR: 3.157, h-index: 153)
American J. of Cardiology     Hybrid Journal   (Followers: 44, SJR: 2.063, h-index: 186)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 39, 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: 16, SJR: 1.653, h-index: 93)
American J. of Human Genetics     Hybrid Journal   (Followers: 31, SJR: 8.769, h-index: 256)
American J. of Infection Control     Hybrid Journal   (Followers: 24, SJR: 1.259, h-index: 81)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 33, SJR: 2.313, h-index: 172)
American J. of Medicine     Hybrid Journal   (Followers: 46, 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: 194, SJR: 2.255, h-index: 171)
American J. of Ophthalmology     Hybrid Journal   (Followers: 56, SJR: 2.803, h-index: 148)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 4)
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: 24, SJR: 0.59, h-index: 45)
American J. of Pathology     Hybrid Journal   (Followers: 26, 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: 34, SJR: 1.286, h-index: 125)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, 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: 55, SJR: 0.124, h-index: 9)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 9)
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: 37, SJR: 1.548, h-index: 152)
Analytical Biochemistry     Hybrid Journal   (Followers: 168, SJR: 0.725, h-index: 154)
Analytical Chemistry Research     Open Access   (Followers: 8, SJR: 0.18, h-index: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 11)
Anesthésie & Réanimation     Full-text available via subscription   (Followers: 1)
Anesthesiology Clinics     Full-text available via subscription   (Followers: 22, 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: 156, 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   (Followers: 1, 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
   ISSN (Print) 0001-8708 - ISSN (Online) 1090-2082
   Published by Elsevier Homepage  [3044 journals]
  • Euler class groups and the homology of elementary and special linear
           groups
    • Authors: Marco Schlichting
      Pages: 1 - 81
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Marco Schlichting
      We improve homology stability ranges for elementary and special linear groups over rings with many units. Our result implies stability for unstable Quillen K-groups and proves a conjecture of Bass. For commutative local rings with infinite residue fields, we show that the obstruction to further stability is given by Milnor–Witt K-theory. As an application we construct Euler classes of projective modules with values in the cohomology of the Milnor–Witt K-theory sheaf. For d-dimensional commutative noetherian rings with infinite residue fields we show that the vanishing of the Euler class is necessary and sufficient for an oriented projective module P of rank d to split off a rank 1 free direct summand. Along the way we obtain a new presentation of Milnor–Witt K-theory and of symplectic K 2 simplifying the classical Matsumoto–Moore presentation.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.034
      Issue No: Vol. 320 (2017)
       
  • Simplicial moves on balanced complexes
    • Authors: Ivan Izmestiev; Steven Klee; Isabella Novik
      Pages: 82 - 114
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Ivan Izmestiev, Steven Klee, Isabella Novik
      We introduce a notion of cross-flips: local moves that transform a balanced (i.e., properly ( d + 1 ) -colored) triangulation of a combinatorial d-manifold into another balanced triangulation. These moves form a natural analog of bistellar flips (also known as Pachner moves). Specifically, we establish the following theorem: any two balanced triangulations of a closed combinatorial d-manifold can be connected by a sequence of cross-flips. Along the way we prove that for every m ≥ d + 2 and any closed combinatorial d-manifold M, two m-colored triangulations of M can be connected by a sequence of bistellar flips that preserve the vertex colorings.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.036
      Issue No: Vol. 320 (2017)
       
  • Degeneracy loci classes in K-theory — determinantal and Pfaffian
           formula
    • Authors: Thomas Hudson; Takeshi Ikeda; Tomoo Matsumura; Hiroshi Naruse
      Pages: 115 - 156
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura, Hiroshi Naruse
      We prove a determinantal formula that describes the K-theoretic degeneracy loci classes for Grassmann bundles. We further prove Pfaffian formulas for symplectic and odd orthogonal Grassmann bundles. The former generalizes Damon–Kempf–Laksov's determinantal formula, and the latter generalize Pragacz–Kazarian's formulas for the Chow ring.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.038
      Issue No: Vol. 320 (2017)
       
  • Sheets and associated varieties of affine vertex algebras
    • Authors: Tomoyuki Arakawa; Anne Moreau
      Pages: 157 - 209
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Tomoyuki Arakawa, Anne Moreau
      We show that sheet closures appear as associated varieties of affine vertex algebras. Further, we give new examples of non-admissible affine vertex algebras whose associated variety is contained in the nilpotent cone. We also prove some conjectures from our previous paper and give new examples of lisse affine W-algebras.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.039
      Issue No: Vol. 320 (2017)
       
  • Log canonical models of elliptic surfaces
    • Authors: Kenneth Ascher; Dori Bejleri
      Pages: 210 - 243
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Kenneth Ascher, Dori Bejleri
      We classify the log canonical models of elliptic surface pairs ( f : X → C , S + F A ) where f : X → C is an elliptic fibration, S is a section, and F A is a weighted sum of marked fibers. In particular, we show how the log canonical models depend on the choice of the weights. We describe a wall and chamber decomposition of the space of weights based on how the log canonical model changes. In addition, we give a generalized formula for the canonical bundle of an elliptic surface with section and marked fibers. This is the first step in constructing compactifications of moduli spaces of elliptic surfaces using the minimal model program.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.035
      Issue No: Vol. 320 (2017)
       
  • Finite versus infinite: An insufficient shift
    • Authors: Yann Pequignot
      Pages: 244 - 249
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Yann Pequignot
      The shift graph G S is defined on the space of infinite subsets of natural numbers by letting two sets be adjacent if one can be obtained from the other by removing its least element. We show that this graph is not a minimum among the graphs of the form G f defined on some Polish space X, where two distinct points are adjacent if one can be obtained from the other by a given Borel function f : X → X . This answers the primary outstanding question from [8].

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.044
      Issue No: Vol. 320 (2017)
       
  • Duality structures and discrete conformal variations of piecewise constant
           curvature surfaces
    • Authors: David Glickenstein; Joseph Thomas
      Pages: 250 - 278
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): David Glickenstein, Joseph Thomas
      A piecewise constant curvature manifold is a triangulated manifold that is assigned a geometry by specifying lengths of edges and stipulating the simplex has an isometric embedding into a constant curvature background geometry (Euclidean, hyperbolic, or spherical) with the specified edge lengths. Additional geometric structure leads to a notion of discrete conformal structure, generalizing circle packings and their generalizations as studied by Thurston and others. We analyze discrete conformal variations of piecewise constant curvature 2-manifolds, giving particular attention to the variation of angles. Formulas are derived for the derivatives of angles in each background geometry, which yield formulas for the derivatives of curvatures and to curvature functionals. Finally, we provide a complete classification of possible definitions of discrete conformal structures in each of the background geometries.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.043
      Issue No: Vol. 320 (2017)
       
  • The twisted inverse image pseudofunctor over commutative DG rings and
           perfect base change
    • Authors: Liran Shaul
      Pages: 279 - 328
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Liran Shaul
      Let K be a Gorenstein noetherian ring of finite Krull dimension, and consider the category of cohomologically noetherian commutative differential graded rings A over K , such that H 0 ( A ) is essentially of finite type over K , and A has finite flat dimension over K . We extend Grothendieck's twisted inverse image pseudofunctor to this category by generalizing the theory of rigid dualizing complexes to this setup. We prove functoriality results with respect to cohomologically finite and cohomologically essentially smooth maps, and prove a perfect base change result for f ! in this setting. As application, we deduce a perfect derived base change result for the twisted inverse image of a map between ordinary commutative noetherian rings. Our results generalize and solve some recent conjectures of Yekutieli.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.041
      Issue No: Vol. 320 (2017)
       
  • The slice method for G-torsors
    • Authors: Roland Lötscher; Mark MacDonald
      Pages: 329 - 360
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Roland Lötscher, Mark MacDonald
      The notion of a ( G , N ) -slice of a G-variety was introduced by P.I. Katsylo in the early 80's for an algebraically closed base field of characteristic 0. Slices (also known under the name of relative sections) have ever since provided a fundamental tool in invariant theory, allowing reduction of rational or regular invariants of an algebraic group G to invariants of a “simpler” group. We refine this notion for a G-scheme over an arbitrary field, and use it to get reduction of structure group results for G-torsors. Namely we show that any ( G , N ) -slice of a versal G-scheme gives surjective maps H 1 ( L , N ) → H 1 ( L , G ) in fppf-cohomology for infinite fields L containing F. We show that every stabilizer in general position H for a geometrically irreducible G-variety V gives rise to a ( G , N G ( H ) ) -slice in our sense. The combination of these two results is applied in particular to obtain a striking new upper bound on the essential dimension of the simply connected split algebraic group of type E 7 .

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.042
      Issue No: Vol. 320 (2017)
       
  • Irregular varieties with geometric genus one, theta divisors, and fake
           tori
    • Authors: Jungkai Chen; Zhi Jiang; Zhiyu Tian
      Pages: 361 - 390
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Jungkai Chen, Zhi Jiang, Zhiyu Tian
      We study the Albanese image of a compact Kähler manifold whose geometric genus is one. In particular, we prove that if the Albanese map is not surjective, then the manifold maps surjectively onto an ample divisor in some abelian variety, and in many cases the ample divisor is a theta divisor. With a further natural assumption on the topology of the manifold, we prove that the manifold is an algebraic fiber space over a genus two curve. Finally we apply these results to study the geometry of a compact Kähler manifold which has the same Hodge numbers as those of an abelian variety of the same dimension.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.004
      Issue No: Vol. 320 (2017)
       
  • Fourier integral operators on Lie groupoids
    • Authors: Jean-Marie Lescure; Stéphane Vassout
      Pages: 391 - 450
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Jean-Marie Lescure, Stéphane Vassout
      As announced in [36], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study Lagrangian conic submanifolds of the symplectic groupoid T ⁎ G . This includes their product, transposition and inversion. We also study the relationship between these Lagrangian submanifolds and the equivariant families of Lagrangian submanifolds of T ⁎ G x × T ⁎ G x parametrized by the units x ∈ G ( 0 ) of G. This allows us to select a subclass of Lagrangian distributions on any Lie groupoid G that deserve the name of Fourier integral G-operators (G-FIOs). By construction, the class of G-FIOs contains the class of equivariant families of ordinary Fourier integral operators on the manifolds G x , x ∈ G ( 0 ) . We then develop for G-FIOs the first stages of the calculus in the spirit of Hormander's work. Finally, we illustrate this calculus in the case of manifolds with boundary.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.027
      Issue No: Vol. 320 (2017)
       
  • Solvability of Dirac type equations
    • Authors: Qingchun Ji; Ke Zhu
      Pages: 451 - 474
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Qingchun Ji, Ke Zhu
      This paper develops a weighted L 2 -method for the (half) Dirac equation. For Dirac bundles over closed Riemann surfaces, we give a sufficient condition for the solvability of the (half) Dirac equation in terms of a curvature integral. Applying this to the Dolbeault–Dirac operator, we establish an automatic transversality criteria for holomorphic curves in Kähler manifolds. On compact Riemannian manifolds, we give a new perspective on some well-known results about the first eigenvalue of the Dirac operator, and improve the estimates when the Dirac bundle has a Z 2 -grading. On Riemannian manifolds with cylindrical ends, we obtain solvability in the L 2 -spaces with suitable exponential weights while allowing mild negativity of the curvature.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.040
      Issue No: Vol. 320 (2017)
       
  • Heegaard Floer homology of Matsumoto's manifolds
    • Authors: Motoo Tange
      Pages: 475 - 499
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Motoo Tange
      We consider a homology sphere M n ( K 1 , K 2 ) presented by two knots K 1 , K 2 with linking number 1 and framing ( 0 , n ) . We call the manifold Matsumoto's manifold. We show that M n ( T 2 , 3 , K 2 ) never bounds any contractible 4-manifold if n < 2 τ ( K 2 ) holds. We also give a formula of Ozsváth–Szabó's τ-invariant as the total sum of the Euler numbers of the reduced filtration. We compute the δ-invariants of the twisted Whitehead doubles of torus knots and correction terms of the branched covers of the Whitehead doubles. By using Owens and Strle's obstruction we show that the 12-twisted Whitehead double of the ( 2 , 7 ) -torus knot and the 20-twisted Whitehead double of the ( 3 , 7 ) -torus knot are not slice but the double branched covers bound rational homology 4-balls. These are new examples having a gap between what a knot is slice and what a double branched cover bounds a rational homology 4-ball.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.08.013
      Issue No: Vol. 320 (2017)
       
  • On the effective cone of M‾g,n
    • Authors: Scott Mullane
      Pages: 500 - 519
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Scott Mullane
      For every g ≥ 2 and n ≥ g + 1 we exhibit infinitely many extremal effective divisors in M ‾ g , n coming from the strata of abelian differentials.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.005
      Issue No: Vol. 320 (2017)
       
  • Convex hulls of random walks: Expected number of faces and face
           probabilities
    • Authors: Zakhar Kabluchko; Vladislav Vysotsky; Dmitry Zaporozhets
      Pages: 595 - 629
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Zakhar Kabluchko, Vladislav Vysotsky, Dmitry Zaporozhets
      Consider a sequence of partial sums S i = ξ 1 + … + ξ i , 1 ≤ i ≤ n , starting at S 0 = 0 , whose increments ξ 1 , … , ξ n are random vectors in R d , d ≤ n . We are interested in the properties of the convex hull C n : = Conv ( S 0 , S 1 , … , S n ) . Assuming that the tuple ( ξ 1 , … , ξ n ) is exchangeable and a certain general position condition holds, we prove that the expected number of k-dimensional faces of C n is given by the formula E [ f k ( C n ) ] = 2 ⋅ k ! n ! ∑ l = 0 ∞ [ n + 1 d − 2 l ] { d − 2 l k + 1 } , for all 0 ≤ k ≤ d − 1 , where [ n m ] and { n m } are Stirling numbers of the first and second kind, respectively. Further, we compute explicitly the probability that for given indices 0 ≤ i 1 < … < i k + 1 ≤ n , the points S i 1 , … , S i k + 1 form a k-dimensional face of Conv ( S 0 , S 1 , … , S n ) . This is done in two different settings: for random walks with symmetrically exchangeable increments and for random bridges with exchangeable increments. These results generalize the classical one-dimensional discrete arcsine law for the position of the maximum due to E. Sparre Andersen. All our formulae are distribution-free, that is do not depend on the distribution of the increments
      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.002
      Issue No: Vol. 320 (2017)
       
  • Factorization and non-factorization theorems for pseudocontinuable
           functions
    • Authors: Konstantin M. Dyakonov
      Pages: 630 - 651
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Konstantin M. Dyakonov
      Let θ be an inner function on the unit disk, and let K θ p : = H p ∩ θ H 0 p ‾ be the associated star-invariant subspace of the Hardy space H p , with p ≥ 1 . While a nontrivial function f ∈ K θ p is never divisible by θ, it may have a factor h which is ‘‘not too different” from θ in the sense that the ratio h / θ (or just the anti-analytic part thereof) is smooth on the circle. In this case, f is shown to have additional integrability and/or smoothness properties, much in the spirit of the Hardy–Littlewood–Sobolev embedding theorem. The appropriate norm estimates are established, and their sharpness is discussed.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.001
      Issue No: Vol. 320 (2017)
       
  • Finite topology self-translating surfaces for the mean curvature flow in
           R3
    • Authors: Juan Dávila; Manuel del Pino; Xuan Hien Nguyen
      Pages: 674 - 729
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Juan Dávila, Manuel del Pino, Xuan Hien Nguyen
      Finite topology self-translating surfaces for the mean curvature flow constitute a key element in the analysis of Type II singularities from a compact surface because they arise as limits after suitable blow-up scalings around the singularity. We prove the existence of such a surface M ⊂ R 3 that is orientable, embedded, complete, and with three ends asymptotically paraboloidal. The fact that M is self-translating means that the moving surface S ( t ) = M + t e z evolves by mean curvature flow, or equivalently, that M satisfies the equation H M = ν ⋅ e z where H M denotes mean curvature, ν is a choice of unit normal to M, and e z is a unit vector along the z-axis. This surface M is in correspondence with the classical three-end Costa–Hoffman–Meeks minimal surface with large genus, which has two asymptotically catenoidal ends and one planar end, and a long array of small tunnels in the intersection region resembling a periodic Scherk surface. This example is the first non-trivial one of its kind, and it suggests a strong connection between this problem and the theory of embedded complete minimal surfaces with finite total curvature.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.014
      Issue No: Vol. 320 (2017)
       
  • Moment map flows and the Hecke correspondence for quivers
    • Authors: Graeme Wilkin
      Pages: 730 - 794
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Graeme Wilkin
      In this paper we investigate the convergence properties of the upwards gradient flow of the norm-square of a moment map on the space of representations of a quiver. The first main result gives a necessary and sufficient algebraic criterion for a complex group orbit to intersect the unstable set of a given critical point. Therefore we can classify all of the isomorphism classes which contain an initial condition that flows up to a given critical point. As an application, we then show that Nakajima's Hecke correspondence for quivers has a Morse-theoretic interpretation as pairs of critical points connected by flow lines for the norm-square of a moment map. The results are valid in the general setting of finite quivers with relations.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.011
      Issue No: Vol. 320 (2017)
       
  • A K-theoretic interpretation of real Deligne cohomology
    • Authors: J.P. Pridham
      Pages: 795 - 826
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): J.P. Pridham
      We show that real Deligne cohomology of a complex manifold X arises locally as a topological vector space completion of the analytic Lie groupoid of holomorphic vector bundles. Thus Beilinson's regulator arises naturally as a comparison map between K-theory groups of different types.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.09.018
      Issue No: Vol. 320 (2017)
       
  • Hole probability for nodal sets of the cut-off Gaussian Free Field
    • Authors: Alejandro Rivera
      Pages: 1 - 39
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Alejandro Rivera
      Let ( Σ , g ) be a closed connected surface equipped with a riemannian metric. Let ( λ n ) n ∈ N and ( ψ n ) n ∈ N be the increasing sequence of eigenvalues and the sequence of corresponding L 2 -normalized eigenfunctions of the laplacian on Σ. For each L > 0 , we consider ϕ L = ∑ 0 < λ n ≤ L ξ n λ n ψ n where the ξ n are i.i.d centered gaussians with variance 1. As L → ∞ , ϕ L converges a.s. to the Gaussian Free Field on Σ in the sense of distributions. We first compute the asymptotic behavior of the covariance function for this family of fields as L → ∞ . We then use this result to obtain the asymptotics of the probability that ϕ L is positive on a given open proper subset with smooth boundary. In doing so, we also prove the concentration of the supremum of ϕ L around 1 2 π ln ⁡ L .

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.08.002
      Issue No: Vol. 319 (2017)
       
  • Rectangular Kronecker coefficients and plethysms in geometric complexity
           theory
    • Authors: Christian Ikenmeyer; Greta Panova
      Pages: 40 - 66
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Christian Ikenmeyer, Greta Panova
      We prove that in the geometric complexity theory program the vanishing of rectangular Kronecker coefficients cannot be used to prove superpolynomial determinantal complexity lower bounds for the permanent polynomial. Moreover, we prove the positivity of rectangular Kronecker coefficients for a large class of partitions where the side lengths of the rectangle are at least quadratic in the length of the partition. We also compare rectangular Kronecker coefficients with their corresponding plethysm coefficients, which leads to a new lower bound for rectangular Kronecker coefficients. Moreover, we prove that the saturation of the rectangular Kronecker semigroup is trivial, we show that the rectangular Kronecker positivity stretching factor is 2 for a long first row, and we completely classify the positivity of rectangular limit Kronecker coefficients that were introduced by Manivel in 2011.

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.08.024
      Issue No: Vol. 319 (2017)
       
  • A note on Willmore minimizing Klein bottles in Euclidean space
    • Authors: Jonas Hirsch; Elena Mäder-Baumdicker
      Pages: 67 - 75
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Jonas Hirsch, Elena Mäder-Baumdicker
      We show that φ ∘ τ ˜ 3 , 1 : K → R 4 × { 0 } n − 4 is the unique minimizer among immersed Klein bottles in its conformal class, where φ : S 4 → R 4 is a stereographic projection and τ ˜ 3 , 1 is the bipolar surface of Lawson's τ 3 , 1 -surface [11]. We conjecture that φ ∘ τ ˜ 3 , 1 is the unique minimizer among immersed Klein bottles into R n , n ≥ 4 , whose existence the authors and P. Breuning proved in [2].

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.08.021
      Issue No: Vol. 319 (2017)
       
  • Tensor valuations on lattice polytopes
    • Authors: Monika Ludwig; Laura Silverstein
      Pages: 76 - 110
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Monika Ludwig, Laura Silverstein
      The Ehrhart polynomial and the reciprocity theorems by Ehrhart & Macdonald are extended to tensor valuations on lattice polytopes. A complete classification is established of tensor valuations of rank up to eight that are equivariant with respect to the special linear group over the integers and translation covariant. Every such valuation is a linear combination of the Ehrhart tensors which is shown to no longer hold true for rank nine.

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.08.015
      Issue No: Vol. 319 (2017)
       
  • On pointwise and weighted estimates for commutators of
           Calderón–Zygmund operators
    • Authors: Andrei K. Lerner; Sheldy Ombrosi; Israel P. Rivera-Ríos
      Pages: 153 - 181
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos
      In recent years, it has been well understood that a Calderón–Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar pointwise estimate for the commutator [ b , T ] with a locally integrable function b. This result is applied into two directions. If b ∈ B M O , we improve several weighted weak type bounds for [ b , T ] . If b belongs to the weighted BMO, we obtain a quantitative form of the two-weighted bound for [ b , T ] due to Bloom–Holmes–Lacey–Wick.

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.08.022
      Issue No: Vol. 319 (2017)
       
  • Maximal green sequences for quivers of finite mutation type
    • Authors: Matthew R. Mills
      Pages: 182 - 210
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Matthew R. Mills
      In general, the existence of a maximal green sequence is not mutation invariant. In this paper we show that it is in fact mutation invariant for cluster quivers of finite mutation type. In particular, we show that a mutation finite cluster quiver has a maximal green sequence unless it arises from a once-punctured closed marked surface, or one of the two quivers in the mutation class of X 7 . We develop a procedure to explicitly find maximal green sequences for cluster quivers associated to arbitrary triangulations of closed marked surfaces with at least two punctures. As a corollary, it follows that any triangulation of a marked surface with boundary has a maximal green sequence. We also compute explicit maximal green sequences for exceptional quivers of finite mutation type.

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.08.019
      Issue No: Vol. 319 (2017)
       
  • Bantay's trace in unitary modular tensor categories
    • Authors: Luca Giorgetti; Karl-Henning Rehren
      Pages: 211 - 223
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Luca Giorgetti, Karl-Henning Rehren
      We give a proof of a formula for the trace of self-braidings (in an arbitrary channel) in UMTCs which first appeared in the context of rational conformal field theories (CFTs) [2]. The trace is another invariant for UMTCs which depends only on modular data, and contains the expression of the Frobenius–Schur indicator [21] as a special case. Furthermore, we discuss some applications of the trace formula to the realizability problem of modular data and to the classification of UMTCs.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.018
      Issue No: Vol. 319 (2017)
       
  • Full measure reducibility and localization for quasiperiodic Jacobi
           operators: A topological criterion
    • Authors: Rui Han; Svetlana Jitomirskaya
      Pages: 224 - 250
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Rui Han, Svetlana Jitomirskaya
      We establish a topological criterion for connection between reducibility to constant rotations and dual localization, for the general family of analytic quasiperiodic Jacobi operators. As a corollary, we obtain the sharp arithmetic phase transition for the extended Harper's model in the positive Lyapunov exponent region.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.026
      Issue No: Vol. 319 (2017)
       
  • Convergence rate for spectral distribution of addition of random matrices
    • Authors: Zhigang Bao; László Erdős; Kevin Schnelli
      Pages: 251 - 291
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Zhigang Bao, László Erdős, Kevin Schnelli
      Let A and B be two N by N deterministic Hermitian matrices and let U be an N by N Haar distributed unitary matrix. It is well known that the spectral distribution of the sum H = A + U B U ⁎ converges weakly to the free additive convolution of the spectral distributions of A and B, as N tends to infinity. We establish the optimal convergence rate 1 N in the bulk of the spectrum.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.028
      Issue No: Vol. 319 (2017)
       
  • Resilience for the Littlewood–Offord problem
    • Authors: Afonso S. Bandeira; Asaf Ferber; Matthew Kwan
      Pages: 292 - 312
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Afonso S. Bandeira, Asaf Ferber, Matthew Kwan
      Consider the sum X ( ξ ) = ∑ i = 1 n a i ξ i , where a = ( a i ) i = 1 n is a sequence of non-zero reals and ξ = ( ξ i ) i = 1 n is a sequence of i.i.d. Rademacher random variables (that is, Pr ⁡ [ ξ i = 1 ] = Pr ⁡ [ ξ i = − 1 ] = 1 / 2 ). The classical Littlewood–Offord problem asks for the best possible upper bound on the concentration probabilities Pr ⁡ [ X = x ] . In this paper we study a resilience version of the Littlewood–Offord problem: how many of the ξ i is an adversary typically allowed to change without being able to force concentration on a particular value' We solve this problem asymptotically, and present a few interesting open problems.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.031
      Issue No: Vol. 319 (2017)
       
  • Upper tails and independence polynomials in random graphs
    • Authors: Bhaswar B. Bhattacharya; Shirshendu Ganguly; Eyal Lubetzky; Yufei Zhao
      Pages: 313 - 347
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Bhaswar B. Bhattacharya, Shirshendu Ganguly, Eyal Lubetzky, Yufei Zhao
      The upper tail problem in the Erdős–Rényi random graph G ∼ G n , p asks to estimate the probability that the number of copies of a graph H in G exceeds its expectation by a factor 1 + δ . Chatterjee and Dembo showed that in the sparse regime of p → 0 as n → ∞ with p ≥ n − α for an explicit α = α H > 0 , this problem reduces to a natural variational problem on weighted graphs, which was thereafter asymptotically solved by two of the authors in the case where H is a clique. Here we extend the latter work to any fixed graph H and determine a function c H ( δ ) such that, for p as above and any fixed δ > 0 , the upper tail probability is exp ⁡ [ − ( c H ( δ ) + o ( 1 ) ) n 2 p Δ log ⁡ ( 1 / p ) ] , where Δ is the maximum degree of H. As it turns out, the leading order constant in the large deviation rate function, c H ( δ ) , is governed by the independence polynomial of H, defined as P H ( x ) = ∑ i H ( k ) x k where i H ( k ) is the number of independent sets of size k in H. For instance, if H is a regular graph on m vertices, then c H ( δ ) is the minimum between 1 2 δ 2 / m and the unique positive solution of P H ( x ) = 1 + δ .

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.003
      Issue No: Vol. 319 (2017)
       
  • Diffusive wave in the low Mach limit for compressible Navier–Stokes
           equations
    • Authors: Feimin Huang; Tian-Yi Wang; Yong Wang
      Pages: 348 - 395
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Feimin Huang, Tian-Yi Wang, Yong Wang
      The low Mach limit for 1D non-isentropic compressible Navier–Stokes flow, whose density and temperature have different asymptotic states at infinity, is rigorously justified. The problems are considered on both well-prepared and ill-prepared data. For the well-prepared data, the solutions of compressible Navier–Stokes equations are shown to converge to a nonlinear diffusion wave solution globally in time as Mach number goes to zero when the difference between the states at ±∞ is suitably small. In particular, the velocity of diffusion wave is only driven by the variation of temperature. It is further shown that the solution of compressible Navier–Stokes system also has the same property when Mach number is small, which has never been observed before. The convergence rates on both Mach number and time are also obtained for the well-prepared data. For the ill-prepared data, the limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma. And the difference between the states at ±∞ can be arbitrary large in this case.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.004
      Issue No: Vol. 319 (2017)
       
  • Heat kernel and curvature bounds in Ricci flows with bounded scalar
           curvature
    • Authors: Richard H. Bamler; Qi S. Zhang
      Pages: 396 - 450
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Richard H. Bamler, Qi S. Zhang
      In this paper we analyze Ricci flows on which the scalar curvature is globally or locally bounded from above by a uniform or time-dependent constant. On such Ricci flows we establish a new time-derivative bound for solutions to the heat equation. Based on this bound, we solve several open problems: 1. distance distortion estimates, 2. the existence of a cutoff function, 3. Gaussian bounds for heat kernels, and, 4. a backward pseudolocality theorem, which states that a curvature bound at a later time implies a curvature bound at a slightly earlier time. Using the backward pseudolocality theorem, we next establish a uniform L 2 curvature bound in dimension 4 and we show that the flow in dimension 4 converges to an orbifold at a singularity. We also obtain a stronger ε-regularity theorem for Ricci flows. This result is particularly useful in the study of Kähler Ricci flows on Fano manifolds, where it can be used to derive certain convergence results.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.025
      Issue No: Vol. 319 (2017)
       
  • The set of all orthogonal complex structures on the flat 6-tori
    • Authors: Gabriel Khan; Bo Yang; Fangyang Zheng
      Pages: 451 - 471
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Gabriel Khan, Bo Yang, Fangyang Zheng
      In [2], Borisov, Salamon and Viaclovsky constructed non-standard orthogonal complex structures on flat tori T R 2 n for any n ≥ 3 . We will call these examples BSV-tori. In this note, we show that on a flat 6-torus, all the orthogonal complex structures are either the complex tori or the BSV-tori. This solves the classification problem for compact Hermitian manifolds with flat Riemannian connection in the case of complex dimension three.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.037
      Issue No: Vol. 319 (2017)
       
  • Finite and infinite dimensional Lie group structures on Riordan groups
    • Authors: Gi-Sang Cheon; Ana Luzón; Manuel A. Morón; L. Felipe Prieto-Martinez; Minho Song
      Pages: 522 - 566
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Gi-Sang Cheon, Ana Luzón, Manuel A. Morón, L. Felipe Prieto-Martinez, Minho Song
      We introduce a Frechet Lie group structure on the Riordan group. We give a description of the corresponding Lie algebra as a vector space of infinite lower triangular matrices. We describe a natural linear action induced on the Frechet space K N by any element in the Lie algebra. We relate this to a certain family of bivariate linear partial differential equations. We obtain the solutions of such equations using one-parameter groups in the Riordan group. We show how a particular semidirect product decomposition in the Riordan group is reflected in the Lie algebra. We study the stabilizer of a formal power series under the action induced by Riordan matrices. We get stabilizers in the fraction field K ( ( x ) ) using bi-infinite representations. We provide some examples. The main tool to get our results is the paper [18] where the Riordan group was described using inverse sequences of groups of finite matrices.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.033
      Issue No: Vol. 319 (2017)
       
  • Sharp Hardy–Adams inequalities for bi-Laplacian on hyperbolic space
           of dimension four
    • Authors: Guozhen Lu; Qiaohua Yang
      Pages: 567 - 598
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Guozhen Lu, Qiaohua Yang
      We establish sharp Hardy–Adams inequalities on hyperbolic space B 4 of dimension four. Namely, we will show that for any α > 0 there exists a constant C α > 0 such that ∫ B 4 ( e 32 π 2 u 2 − 1 − 32 π 2 u 2 ) d V = 16 ∫ B 4 e 32 π 2 u 2 − 1 − 32 π 2 u 2 ( 1 − x 2 ) 4 d x ≤ C α for any u ∈ C 0 ∞ ( B 4 ) with ∫ B 4 ( − Δ H − 9 4 ) ( − Δ H + α ) u ⋅ u d V ≤ 1 . As applications, we obtain a sharpened Adams inequality on hyperbolic space B 4 and an inequality which improves the classical Adams' inequality and the Hardy inequality simultaneously. The later inequality is in the spirit of the Hardy–Trudinger–Moser inequality on a disk in dimension two given by Wang and Ye in [46] and on any convex planar domain by Lu and Yang in [33]. The Fourier analysis techniques on hyperbolic and symmetric spaces play an important role in our work.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.014
      Issue No: Vol. 319 (2017)
       
  • Amenable covers for surfaces and growth of closed geodesics
    • Authors: Mark Pollicott
      Pages: 599 - 609
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Mark Pollicott
      In this article we show that the rate of growth of closed geodesics (up to translation) on an amenable cover of a compact surface is the same as that on the underlying space. This generalizes the result for negatively curved surfaces.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.020
      Issue No: Vol. 319 (2017)
       
  • Rigidity of composition operators on the Hardy space Hp
    • Authors: Jussi Laitila; Pekka J. Nieminen; Eero Saksman; Hans-Olav Tylli
      Pages: 610 - 629
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Jussi Laitila, Pekka J. Nieminen, Eero Saksman, Hans-Olav Tylli
      Let ϕ be an analytic map taking the unit disk D into itself. We establish that the class of composition operators f ↦ C ϕ ( f ) = f ∘ ϕ exhibits a rather strong rigidity of non-compact behaviour on the Hardy space H p , for 1 ≤ p < ∞ and p ≠ 2 . Our main result is the following trichotomy, which states that exactly one of the following alternatives holds: (i) C ϕ is a compact operator H p → H p , (ii) C ϕ fixes a (linearly isomorphic) copy of ℓ p in H p , but C ϕ does not fix any copies of ℓ 2 in H p , (iii) C ϕ fixes a copy of ℓ 2 in H p . Moreover, in case (iii) the operator C ϕ actually fixes a copy of L p ( 0 , 1 ) in H p provided p > 1 . We reinterpret these results in terms of norm-closed ideals of the bounded linear operators on H p , which contain the compact operators K ( H p ) . In particular, the class of composition operators on H p does not reflect the quite complicated lattice structure of such ideals.

      PubDate: 2017-09-06T12:22:15Z
      DOI: 10.1016/j.aim.2017.08.029
      Issue No: Vol. 319 (2017)
       
  • The Ziegler spectrum for derived-discrete algebras
    • Authors: Kristin Krogh Arnesen; Rosanna Laking; David Pauksztello; Mike Prest
      Pages: 653 - 698
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Kristin Krogh Arnesen, Rosanna Laking, David Pauksztello, Mike Prest
      Let Λ be a derived-discrete algebra. We show that the Krull–Gabriel dimension of the homotopy category of projective Λ-modules, and therefore the Cantor–Bendixson rank of its Ziegler spectrum, is 2, thus extending a result of Bobiński and Krause [8]. We also describe all the indecomposable pure-injective complexes and hence the Ziegler spectrum for derived-discrete algebras, extending a result of Z. Han [17]. Using this, we are able to prove that all indecomposable complexes in the homotopy category of projective Λ-modules are pure-injective, so obtaining a class of algebras for which every indecomposable complex is pure-injective but which are not derived pure-semisimple.

      PubDate: 2017-09-17T11:43:03Z
      DOI: 10.1016/j.aim.2017.07.016
      Issue No: Vol. 319 (2017)
       
  • Asymptotic ⁎-moments of some random Vandermonde matrices
    • Authors: March Boedihardjo; Ken Dykema
      Pages: 1 - 45
      Abstract: Publication date: 1 October 2017
      Source:Advances in Mathematics, Volume 318
      Author(s): March Boedihardjo, Ken Dykema
      Appropriately normalized square random Vandermonde matrices based on independent random variables with uniform distribution on the unit circle are studied. It is shown that as the matrix sizes increases without bound, with respect to the expectation of the trace there is an asymptotic ⁎-distribution, equal to that of a C [ 0 , 1 ] -valued R-diagonal element.

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.07.019
      Issue No: Vol. 318 (2017)
       
  • Metric Scott analysis
    • Authors: Itaï Ben Yaacov; Michal Doucha; André Nies; Todor Tsankov
      Pages: 46 - 87
      Abstract: Publication date: 1 October 2017
      Source:Advances in Mathematics, Volume 318
      Author(s): Itaï Ben Yaacov, Michal Doucha, André Nies, Todor Tsankov
      We develop an analogue of the classical Scott analysis for metric structures and infinitary continuous logic. Among our results are the existence of Scott sentences for metric structures and a version of the López-Escobar theorem. We also derive some descriptive set theoretic consequences: most notably, that isomorphism on a class of separable structures is a Borel equivalence relation iff their Scott rank is uniformly bounded below ω 1 . Finally, we apply our methods to study the Gromov–Hausdorff distance between metric spaces and the Kadets distance between Banach spaces, showing that the set of spaces with distance 0 to a fixed space is a Borel set.

      PubDate: 2017-08-28T04:47:53Z
      DOI: 10.1016/j.aim.2017.07.021
      Issue No: Vol. 318 (2017)
       
  • The distribution of zeros of ζ′(s) and gaps between zeros of
           ζ(s)
    • Authors: Fan
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Fan Ge
      Assume the Riemann Hypothesis. We establish a local structure theorem for zeros of the Riemann zeta-function ζ ( s ) and its derivative ζ ′ ( s ) . As an application, we prove a stronger form of half of a conjecture of Radziwiłł [18] concerning the global statistics of these zeros. Roughly speaking, we show that on the Riemann Hypothesis, if there occurs a small gap between consecutive zeta zeros, then there is exactly one zero of ζ ′ ( s ) lying not only very close to the critical line but also between that pair of zeta zeros. This refines a result of Zhang [22]. Some related results are also shown. For example, we prove a weak form of a conjecture of Soundararajan, and suggest a repulsion phenomena for zeros of ζ ′ ( s ) .

      PubDate: 2017-09-17T11:43:03Z
       
  • Affine strict polynomial functors and formality
    • Authors: Marcin
      Abstract: Publication date: 7 November 2017
      Source:Advances in Mathematics, Volume 320
      Author(s): Marcin Chałupnik
      We introduce the notion of an affine strict polynomial functor. We show how this concept helps to understand homological behavior of the operation of Frobenius twist in the category of strict polynomial functors over a field of positive characteristic. We also point out for an analogy between our category and the category of representations of the group of algebraic loops on G L n .

      PubDate: 2017-09-17T11:43:03Z
       
  • 12, 24 and beyond
    • Authors: Leonor Godinho; Frederik von Heymann Silvia Sabatini
      Abstract: Publication date: 15 October 2017
      Source:Advances in Mathematics, Volume 319
      Author(s): Leonor Godinho, Frederik von Heymann, Silvia Sabatini
      We generalize the well-known “12 and 24” theorems for reflexive polytopes of dimension 2 and 3 to any smooth reflexive polytope. Our methods apply to a wider category of objects, here called reflexive GKM graphs, that are associated with certain monotone symplectic manifolds which do not necessarily admit a toric action. As an application, we provide bounds on the Betti numbers for certain monotone Hamiltonian spaces which depend on the minimal Chern number of the manifold.

      PubDate: 2017-09-06T12:22:15Z
       
  • Ledrappier–Young formula and exact dimensionality of self-affine
           measures
    • Authors: Antti
      Abstract: Publication date: 1 October 2017
      Source:Advances in Mathematics, Volume 318
      Author(s): Balázs Bárány, Antti Käenmäki
      In this paper, we solve the long standing open problem on exact dimensionality of self-affine measures on the plane. We show that every self-affine measure on the plane is exact dimensional regardless of the choice of the defining iterated function system. In higher dimensions, under certain assumptions, we prove that self-affine and quasi self-affine measures are exact dimensional. In both cases, the measures satisfy the Ledrappier–Young formula.

      PubDate: 2017-08-28T04:47:53Z
       
  • Moduli spaces of 1-dimensional semi-stable sheaves and strange duality on
           P2
    • Authors: Yao Yuan
      Abstract: Publication date: 1 October 2017
      Source:Advances in Mathematics, Volume 318
      Author(s): Yao Yuan
      We study Le Potier's strange duality conjecture on P 2 . We show the conjecture is true for the pair ( W ( 2 , 0 , 2 ) ,   M ( d , 0 ) ) with d > 0 , where W ( 2 , 0 , 2 ) is the moduli space of semistable sheaves of rank 2, zero first Chern class and second Chern class 2, and M ( d , 0 ) is the moduli space of 1-dimensional semistable sheaves of first Chern class dH and Euler characteristic 0.

      PubDate: 2017-08-28T04:47:53Z
       
 
 
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