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  Subjects -> MATHEMATICS (Total: 966 journals)
    - APPLIED MATHEMATICS (82 journals)
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    - MATHEMATICS (711 journals)
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MATHEMATICS (711 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)

        1 2 3 4 | Last

Journal Cover
Bulletin des Sciences Mathamatiques
Journal Prestige (SJR): 0.96
Citation Impact (citeScore): 1
Number of Followers: 4  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0007-4497
Published by Elsevier Homepage  [3163 journals]
  • An operator-valued kernel associated with a commuting tuple of Hilbert
           space operators
    • Authors: Sameer Chavan
      Pages: 38 - 52
      Abstract: Publication date: June 2018
      Source:Bulletin des Sciences Mathématiques, Volume 145
      Author(s): Sameer Chavan
      We associate a one parameter family of positive definite E-valued kernels K a , T with any commuting d-tuple T of bounded linear operators on a Hilbert space H, where a is a multi-sequence of non-zero complex numbers and E is an auxiliary Hilbert space. If H a , T denotes the reproducing kernel Hilbert space associated with K a , T , then there exists an isometry U a , T from H a , T into H. It turns out that U a , T is surjective if and only E is a cyclic subspace for T. We apply the above scheme to the commuting toral Cauchy dual d-tuple S t and the constant multi-sequence a t with value 1 (resp. commuting spherical Cauchy dual d-tuple S s and the multi-sequence a s , α : = ( d + α − 1 ) ! ( d − 1 ) ! α ! , α ∈ N d ) with E being the joint kernel of S ⁎ to ensure an analytic model for S under some natural assumptions. In particular, the strictly higher dimensional obstruction to the intertwining of U a , S t with S t (resp. the intertwining of U a , S s with S s ) and the multiplication tuple M z is characterized in terms of a kernel condition. These results can be considered as toral and spherical analogs of Shimorin's Theorem (the case of d = 1 ) stating that any left-invertible analytic operator admits an analytic model.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.03.002
      Issue No: Vol. 145 (2018)
       
  • Time fractional linear problems on L2(Rd)
    • Authors: Hassan Emamirad; Arnaud Rougirel
      Pages: 1 - 38
      Abstract: Publication date: May 2018
      Source:Bulletin des Sciences Mathématiques, Volume 144
      Author(s): Hassan Emamirad, Arnaud Rougirel
      In this paper, we propose a theory for linear time fractional PDEs on L 2 ( R d ) , with two time parameters. The order of the time derivatives under consideration is less than 1. We study well-posedness, regularizing effects and dissipative properties. Regarding regularizing effects, we describe quite precisely the equations that have this effect or not. We highlight that, in purely fractional settings, the regularizing effect acts always only up to finite order; unlike to the standard case. Also, we investigate the properties of the three time variables solution operator generated by these PDEs.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.01.002
      Issue No: Vol. 144 (2018)
       
  • Brauer group of the moduli spaces of stable vector bundles of fixed
           determinant over a smooth curve
    • Authors: Indranil Biswas; Tathagata Sengupta
      Pages: 55 - 63
      Abstract: Publication date: May 2018
      Source:Bulletin des Sciences Mathématiques, Volume 144
      Author(s): Indranil Biswas, Tathagata Sengupta
      Let X be an irreducible smooth projective curve, defined over an algebraically closed field k, of genus at least three and L a line bundle on X. Let M X ( r , L ) be the moduli space of stable vector bundles on X of rank r and determinant L with r ≥ 2 . We prove that the Brauer group Br ( M X ( r , L ) ) is cyclic of order g . c . d . ( r , degree ( L ) ) . We also prove that Br ( M X ( r , L ) ) is generated by the class of the projective bundle obtained by restricting the universal projective bundle. These results were proved earlier in [1] under the assumption that k = C .

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.02.001
      Issue No: Vol. 144 (2018)
       
  • A fundamental differential system of 3-dimensional Riemannian geometry
    • Authors: R. Albuquerque
      Pages: 82 - 107
      Abstract: Publication date: March 2018
      Source:Bulletin des Sciences Mathématiques, Volume 143
      Author(s): R. Albuquerque
      We briefly recall a fundamental exterior differential system of Riemannian geometry and apply it to the case of three dimensions. Here we find new global tensors and intrinsic invariants of oriented Riemannian 3-manifolds. In particular, we develop the study of ∇Ric. The exterior differential system leads to a remarkable Weingarten type equation for immersed surfaces in hyperbolic 3-space. A new independent proof for low dimensions of the structural equations gives new insight on the intrinsic exterior differential system.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.01.001
      Issue No: Vol. 143 (2018)
       
  • Non-emptiness of Brill-Noether Loci over very general quintic hypersurface
    • Abstract: Publication date: Available online 14 May 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): Krishanu Dan, Sarbeswar Pal
      In this article we study Brill-Noether loci of moduli space of stable bundles over smooth surfaces. We define Petri map as an analogy with the case of curves. We show the non-emptiness of certain Brill-Noether loci over very general quintic hypersurface in P 3 , and use the Petri map to produce components of expected dimension.

      PubDate: 2018-06-01T06:19:24Z
       
  • A propos de l'algèbre de Hopf des mots tassés WMat
    • Authors: Mammez
      Abstract: Publication date: June 2018
      Source:Bulletin des Sciences Mathématiques, Volume 145
      Author(s): Cécile Mammez
      In this article we study the packed words Hopf algebra WMat introduced by Duchamp, Hoang-Nghia et Tanasa. We start by explaining that WMat is not cofree, giving its antipode and describing its graded dual. We consider then a Hopf sub-algebra of permutations called S H . Its graded dual S H ⊛ has a quadri-algebra structure, so it has a double dendriform algebra structure too. Thereafter, we introduce ISPW, a Hopf algebra of increasing strict packed words. It is graded, connected and cocommutative so is isomorphic to the enveloping algebra of its primitive elements. We describe some families of primitive elements. We prove that ISPW and non commutative symmetric functions are isomorphic. We define then an extended compositions Hopf algebra C e . It is not cocommutative but its primitive elements and those from ISPW are linked. We give an interpretation of C e in terms of a semi-direct coproduct Hopf algebra. By using this, we can define two actions groups. We finish by giving an explicit isomorphism between ISPW ⊛ and QSym and another one between ISPW and NSym.

      PubDate: 2018-04-25T08:46:10Z
       
  • Asymptotic behavior of Poisson integrals in a cylinder and its application
           to the representation of harmonic functions
    • Authors: Lei Qiao
      Abstract: Publication date: May 2018
      Source:Bulletin des Sciences Mathématiques, Volume 144
      Author(s): Lei Qiao
      Our first aim in this paper is to deal with asymptotic behavior of Poisson integrals in a cylinder. Next Carleman's formula for harmonic functions in it is also proved. As an application of them, we finally give the integral representation of harmonic functions in a cylinder.

      PubDate: 2018-04-25T08:46:10Z
       
  • On the center criterion of planar quasi-homogeneous polynomial
           differential systems
    • Authors: Liwei Zhang; Jiang Yu
      Abstract: Publication date: Available online 12 April 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): Liwei Zhang, Jiang Yu
      In this paper, we characterize the centers of the quasi-homogeneous planar polynomial differential systems of any degree n ∈ N . First, we prove that the system does not admit centers if n is even, then present the sufficient and necessary conditions that the system admits a center if n is odd. Furthermore, we provide a simple method to obtain such these systems with center for a given order.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.04.001
       
  • Toeplitz and Asymptotic Toeplitz operators on H2(Dn)
    • Authors: Amit Maji; Jaydeb Sarkar; Srijan Sarkar
      Abstract: Publication date: Available online 28 March 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): Amit Maji, Jaydeb Sarkar, Srijan Sarkar
      We initiate a study of Toeplitz operators and asymptotic Toeplitz operators on the Hardy space H 2 ( D n ) (over the unit polydisc D n in C n ). Our main results on Toeplitz and asymptotic Toeplitz operators can be stated as follows: Let T z i denote the multiplication operator on H 2 ( D n ) by the i t h coordinate function z i , i = 1 , … , n , and let T be a bounded linear operator on H 2 ( D n ) . Then the following hold: (i) T is a Toeplitz operator (that is, T = P H 2 ( D n ) M φ H 2 ( D n ) , where M φ is the Laurent operator on L 2 ( T n ) for some φ ∈ L ∞ ( T n ) ) if and only if T z i ⁎ T T z i = T for all i = 1 , … , n . (ii) T is an asymptotic Toeplitz operator if and only if T = Toeplitz + compact . The case n = 1 is the well known results of Brown and Halmos, and Feintuch, respectively. We also present related results in the setting of vector-valued Hardy spaces over the unit disc.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.03.005
       
  • k-Uniform Rotundity is equivalent to k-Uniform Convexity
    • Authors: W. Ramasinghe
      Abstract: Publication date: Available online 28 March 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): W. Ramasinghe
      R. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convexity. Pei-kee Lin extended this result for any integer k ≥ 1 . This paper gives a different proof for the equivalence of k-uniform rotundity and k-uniform convexity for any integer k ≥ 1 .

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.03.004
       
  • Twisted Argyle Quivers and Higgs Bundles
    • Authors: Steven Rayan; Evan Sundbo
      Abstract: Publication date: Available online 21 March 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): Steven Rayan, Evan Sundbo
      Ordinarily, quiver varieties are constructed as moduli spaces of quiver representations in the category of vector spaces. It is also natural to consider quiver representations in a richer category, namely that of vector bundles on some complex variety equipped with a fixed sheaf that twists the morphisms. Representations of A-type quivers in this twisted category — known in the literature as “holomorphic chains” — have practical use in questions concerning the topology of the moduli space of Higgs bundles. In that problem, the variety is a Riemann surface of genus at least 2, and the twist is its canonical line bundle. We extend the treatment of twisted A-type quiver representations to any genus using the Hitchin stability condition induced by Higgs bundles and computing their deformation theory. We then focus in particular on so-called “argyle quivers”, where the rank labelling alternates between 1 and integers r i ≥ 1 . We give explicit geometric identifications of moduli spaces of twisted representations of argyle quivers on P 1 using invariant theory for a non-reductive action via Euclidean reduction on polynomials. This leads to a stratification of the moduli space by change of bundle type, which we identify with “collision manifolds” of invariant zeroes of polynomials. We also relate the present work to Bradlow-Daskalopoulos stability and Thaddeus' pullback maps to stable tuples. We apply our results to computing Q -Betti numbers of low-rank twisted Higgs bundle moduli spaces on P 1 , where the Higgs fields take values in an arbitrary ample line bundle. Our results agree with conjectural Poincaré series arising from the ADHM recursion formula.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.03.003
       
  • Schrödinger–Hardy systems involving two Laplacian operators in
           the Heisenberg group
    • Authors: Sara Bordoni; Patrizia Pucci
      Abstract: Publication date: Available online 8 March 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): Sara Bordoni, Patrizia Pucci
      In this paper we first prove existence of nontrivial nonnegative solutions of a Schrödinger–Hardy system in the Heisenberg group, driven by two possibly different Laplacian operators. The main originality of the paper is to work in the Heisenberg group. In fact several new theorems have to be proved in order to overcome the difficulties arising in the new framework, also due to the presence of the Hardy terms and the fact that the nonlinearities do not necessarily satisfy the Ambrosetti–Rabinowitz condition. Finally, we discuss and prove existence even for systems in the Heisenberg group, including critical nonlinear terms.

      PubDate: 2018-04-25T08:46:10Z
      DOI: 10.1016/j.bulsci.2018.03.001
       
  • Born–Jordan pseudodifferential operators and the Dirac correspondence:
           beyond the Groenewold–van Hove Theorem
    • Authors: Maurice A. de Gosson; Fabio Nicola
      Abstract: Publication date: Available online 9 January 2018
      Source:Bulletin des Sciences Mathématiques
      Author(s): Maurice A. de Gosson, Fabio Nicola
      Quantization procedures play an essential role in operator theory, time-frequency analysis and, of course, in quantum mechanics. Roughly speaking the basic idea, due to Dirac, is to associate to any symbol, or observable, a ( x , ξ ) an operator Op ( a ) , according to some axioms dictated by physical considerations. This led to the introduction of a variety of quantizations. They all agree when the symbol a ( x , ξ ) = f ( x ) depends only on x or a ( x , ξ ) = g ( ξ ) depends only on ξ: Op ( f ⊗ 1 ) u = f u , Op ( 1 ⊗ g ) u = F − 1 ( g F u ) where F stands for the Fourier transform. Now, Dirac aimed at finding a quantization satisfying, in addition, the key correspondence [ Op ( a ) , Op ( b ) ] = i Op ( { a , b } ) where [ , ] stands for the commutator and { , } for the Poisson brackets, which would represent a tight link between classical and quantum mechanics. Unfortunately, the famous Groenewold–van Hove theorem states that such a quantization does not exist, and indeed most quantization rules satisfy this property only approximately. In this work we show that the above commutator rule in fact holds for the Born-Jordan quantization, at least for symbols of the type f ( x ) + g ( ξ ) . Moreover we will prove that, remarkably, this property completely characterizes this quantization rule, making it the quantization which best fits the Dirac dream.

      PubDate: 2018-01-09T21:52:18Z
      DOI: 10.1016/j.bulsci.2017.11.001
       
  • Relaxation of nonconvex unbounded integrals with general growth conditions
           in Cheeger–Sobolev spaces
    • Authors: Omar Anza Hafsa; Jean-Philippe Mandallena
      Pages: 49 - 93
      Abstract: Publication date: February 2018
      Source:Bulletin des Sciences Mathématiques, Volume 142
      Author(s): Omar Anza Hafsa, Jean-Philippe Mandallena
      We study relaxation of nonconvex integrals of the calculus of variations in the setting of Cheeger–Sobolev spaces when the integrand does not have polynomial growth and can take infinite values.

      PubDate: 2017-12-26T18:21:03Z
      DOI: 10.1016/j.bulsci.2017.09.002
      Issue No: Vol. 142 (2017)
       
  • Thom irregularity and Milnor tube fibrations
    • Authors: A.J. Parameswaran; Mihai
      Abstract: Publication date: Available online 5 December 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): A.J. Parameswaran, Mihai Tibăr
      We find natural and convenient conditions which allow us to produce classes of genuine real map germs with Milnor tube fibration, either with Thom regularity or without it.

      PubDate: 2017-12-12T16:36:02Z
       
  • Subspaces of ℓ1 satisfying Grothendieck's theorem
    • Authors: Fuente
      Abstract: Publication date: Available online 13 October 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Jesús Suárez de la Fuente
      We characterize the subspaces X of ℓ 1 satisfying Grothendieck's theorem in terms of extension of nonnegative quadratic forms q : X ⟶ R to the whole ℓ 1 .

      PubDate: 2017-10-18T02:37:38Z
       
  • On locally conformal symplectic manifolds of the first kind
    • Authors: Giovanni Bazzoni; Juan Carlos Marrero
      Abstract: Publication date: Available online 6 October 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Giovanni Bazzoni, Juan Carlos Marrero
      We present some examples of locally conformal symplectic structures of the first kind on compact nilmanifolds which do not admit Vaisman metrics. One of these examples does not admit locally conformal Kähler metrics and all the structures come from left-invariant locally conformal symplectic structures on the corresponding nilpotent Lie groups. Under certain topological restrictions related with the compactness of the canonical foliation, we prove a structure theorem for locally conformal symplectic manifolds of the first kind. In the non compact case, we show that they are the product of a real line with a compact contact manifold and, in the compact case, we obtain that they are mapping tori of compact contact manifolds by strict contactomorphisms. Motivated by the aforementioned examples, we also study left-invariant locally conformal symplectic structures on Lie groups. In particular, we obtain a complete description of these structures (with non-zero Lee form) on connected simply connected nilpotent Lie groups in terms of locally conformal symplectic extensions and symplectic double extensions of symplectic nilpotent Lie groups. In order to obtain this description, we study locally conformal symplectic structures of the first kind on Lie algebras.

      PubDate: 2017-10-11T00:43:24Z
       
  • On the ideal case of a conjecture of Auslander and Reiten
    • Authors: Olgur Celikbas; Kei-ichiro Iima Arash Sadeghi Ryo Takahashi
      Abstract: Publication date: Available online 19 September 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Olgur Celikbas, Kei-ichiro Iima, Arash Sadeghi, Ryo Takahashi
      A celebrated conjecture of Auslander and Reiten claims that a finitely generated module M that has no extensions with M ⊕ Λ over an Artin algebra Λ must be projective. This conjecture is widely open in general, even for modules over commutative Noetherian local rings. Over such rings, we prove that a large class of ideals satisfy the extension condition proposed in the aforementioned conjecture of Auslander and Reiten. Along the way we obtain a new characterization of regularity in terms of the injective dimensions of certain ideals.

      PubDate: 2017-09-19T17:57:59Z
       
  • Mutation of friezes
    • Authors: Karin Baur; Eleonore Faber Sira Gratz Khrystyna Serhiyenko Gordana Todorov
      Abstract: Publication date: Available online 14 September 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, Gordana Todorov
      We study mutations of Conway-Coxeter friezes which are compatible with mutations of cluster-tilting objects in the associated cluster category of Dynkin type A. More precisely, we provide a formula, relying solely on the shape of the frieze, describing how each individual entry in the frieze changes under cluster mutation. We observe how the frieze can be divided into four distinct regions, relative to the entry at which we want to mutate, where any two entries in the same region obey the same mutation rule. Moreover, we provide a combinatorial formula for the number of submodules of a string module, and with that a simple way to compute the frieze associated to a fixed cluster-tilting object in a cluster category of Dynkin type A in the sense of Caldero and Chapoton.

      PubDate: 2017-09-19T17:57:59Z
       
 
 
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