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  Subjects -> MATHEMATICS (Total: 879 journals)
    - APPLIED MATHEMATICS (71 journals)
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    - MATHEMATICS (651 journals)
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MATHEMATICS (651 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
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: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
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: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 3)
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 Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
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: 3)
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: 3)
Annals of Data Science     Hybrid Journal   (Followers: 9)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
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)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access  
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
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 the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
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: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
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: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 2)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
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: 9)
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: 4)
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: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
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: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover European Journal of Mathematics
  [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 2199-675X - ISSN (Online) 2199-6768
   Published by Springer-Verlag Homepage  [2353 journals]
  • Foundations of singular Finsler geometry
    • Authors: Pavel Andreev
      Abstract: Abstract We present an approach leading to Finsler geometry without differential calculus of tensors. Several natural examples of such singular Finsler spaces are studied. One class of such examples contains Busemann G-spaces with non-positive curvature. Starting with a singular version of the axiomatics, some simplest properties known in the smooth Finsler geometry are interpreted.
      PubDate: 2017-08-07
      DOI: 10.1007/s40879-017-0169-x
       
  • Wonderful compactifications of the moduli space of points in affine and
           projective space
    • Authors: Patricio Gallardo; Evangelos Routis
      Abstract: Abstract We introduce and study smooth compactifications of the moduli space of n labeled points with weights in projective space, which have normal crossings boundary and are defined as GIT quotients of the weighted Fulton–MacPherson compactification. We show that the GIT quotient of a wonderful compactification is also a wonderful compactification under certain hypotheses. We also study a weighted version of the configuration spaces parametrizing n points in affine space up to translation and homothety. In dimension one, the above compactifications are isomorphic to Hassett’s moduli space of rational weighted stable curves.
      PubDate: 2017-08-07
      DOI: 10.1007/s40879-017-0170-4
       
  • A note on 8-division fields of elliptic curves
    • Authors: Jeffrey Yelton
      Abstract: Abstract Let K be a field of characteristic different from 2 and let E be an elliptic curve over K, defined either by an equation of the form \(y^{2} = f(x)\) with degree 3 or as the Jacobian of a curve defined by an equation of the form \(y^{2} = f(x)\) with degree 4. We obtain generators over K of the 8-division field K(E[8]) of E given as formulas in terms of the roots of the polynomial f, and we explicitly describe the action of a particular automorphism in \(\mathrm {Gal}(K(E[8]) / K)\) .
      PubDate: 2017-08-01
      DOI: 10.1007/s40879-017-0162-4
       
  • Curvatures of homogeneous sub-Riemannian manifolds
    • Authors: Valerii N. Berestovskii
      Abstract: Abstract The author proved in the late 1980s that any homogeneous manifold with an intrinsic metric is isometric to some homogeneous quotient space of a connected Lie group by its compact subgroup with an invariant Finslerian or sub-Finslerian metric. In the case of a trivial compact subgroup, the invariant Riemannian or sub-Riemannian metrics are singled out from invariant Finslerian or sub-Finslerian metrics by being in one-to-one correspondence with special one-parameter Gaussian convolutions semigroups of absolutely continuous probability measures. Any such semigroup is generated by a second order hypoelliptic operator. In the present paper, in connection with this, the author discusses briefly the operator definition of lower bound for Ricci curvature by Baudoin–Garofalo. Earlier, Agrachev defined a notion of curvature for sub-Riemannian manifolds. As an alternative, the author discusses in some detail old definitions of curvature tensors for rigged metrized distributions on manifolds given by Schouten, Wagner, and Solov’ev. To calculate the Solov’ev sectional and Ricci curvatures for homogeneous sub-Riemannian manifolds, the author suggests to use in some cases special riggings of invariant bracket generating distributions on manifolds. As a justification, we find a foliation on the cotangent bundle over a Lie group G whose leaves are tangent to invariant Hamiltonian vector fields for the Pontryagin–Hamilton function. This function was applied in the Pontryagin maximum principle for the time-optimal problem. The foliation is entirely described by the coadjoint representation of the Lie group G. We also use the canonical symplectic form on and its values for the above mentioned invariant Hamiltonian vector fields. In particular, the above rigging method is applicable to contact sub-Riemannian manifolds, sub-Riemannian Carnot groups, and homogeneous sub-Riemannian manifolds possessing a submetry onto a Riemannian manifold. In Sects. 5 and 6, some examples are presented.
      PubDate: 2017-07-31
      DOI: 10.1007/s40879-017-0171-3
       
  • Diophantine approximation on lines in $$\mathbb {C}^2$$ C 2 with Gaussian
           prime constraints
    • Authors: Stephan Baier
      Abstract: Abstract We study the problem of Diophantine approximation on lines in \(\mathbb {C}^2\) with numerators and denominators restricted to Gaussian primes. To this end, we develop analogs of well-known results on small fractional parts of \(p\gamma , p\) running over the primes and \(\gamma \) being a fixed irrational, for Gaussian primes.
      PubDate: 2017-07-27
      DOI: 10.1007/s40879-017-0165-1
       
  • About the Fricke–Macbeath curve
    • Authors: Ruben A. Hidalgo
      Abstract: Abstract A closed Riemann surface of genus \(g \geqslant 2\) is called a Hurwitz curve if its group of conformal automorphisms has order \(84(g-1)\) . In 1895, Wiman noticed that there is no Hurwitz curve of genus \(g=2,4,5,6\) and, up to isomorphisms, there is a unique Hurwitz curve of genus \(g=3\) ; this being Klein’s plane quartic curve. Later, in 1965, Macbeath proved the existence, up to isomorphisms, of a unique Hurwitz curve of genus \(g=7\) ; this known as the Fricke–Macbeath curve. Equations were also provided; that being the fiber product of suitable three elliptic curves. In the same year, Edge constructed such a genus seven Hurwitz curve by elementary projective geometry. Such a construction was provided by first constructing a 4-dimensional family of genus seven closed Riemann surfaces \(S_{\mu }\) admitting a group of conformal automorphisms so that \(S_{\mu }/G_{\mu }\) has genus zero. In this paper we discuss the above curves in terms of fiber products of classical Fermat curves and we provide a geometrical explanation of the three elliptic curves in Macbeath’s description. We also observe that the jacobian variety of each \(S_{\mu }\) is isogenous to the product of seven elliptic curves (explicitly given) and, for the particular Fricke–Macbeath curve, we obtain the well-known fact that its jacobian variety is isogenous to \(E^{7}\) for a suitable elliptic curve E.
      PubDate: 2017-07-24
      DOI: 10.1007/s40879-017-0166-0
       
  • Variations of the stick principle
    • Authors: William Chen
      Abstract: Abstract We solve several problems about different variants of the principle. First, we separate principles which prescribe certain order-types for the members of the family. Then, we separate a principle called \(\mathsf {Superstick}\) from \(\mathsf {CH}\) , answering a question of Primavesi.
      PubDate: 2017-07-20
      DOI: 10.1007/s40879-017-0167-z
       
  • On the group of units and the Picard group of a product
    • Authors: Cristian D. González-Avilés
      Abstract: Abstract Let S be a reduced scheme and let \(f:X\rightarrow S\) and \(g:Y\rightarrow S\) be faithfully flat morphisms locally of finite presentation with reduced and connected maximal geometric fibers. We discuss the canonical maps and induced by f and g. Under certain additional conditions on S, X, Y, f and g, we describe the kernel and cokernel of the preceding maps, thereby extending known results when S is the spectrum of a field.
      PubDate: 2017-07-12
      DOI: 10.1007/s40879-017-0164-2
       
  • The Finsler geometry of the Teichmüller metric
    • Authors: Weixu Su; Youliang Zhong
      Abstract: Abstract This paper is a brief survey of some results on the Finsler structures of Teichmüller metric. We mainly describe the connection between holomorphic quadratic differentials and extremal length of measured foliations. Some rigidity results about the Teichmüller metric inspired by Royden’s theorem are discussed. Teichmüller theory is probably the best example of an instance where Finsler geometry enters in the field of low dimensional geometry and topology.
      PubDate: 2017-07-11
      DOI: 10.1007/s40879-017-0161-5
       
  • The Plateau problem for the Busemann–Hausdorff area in arbitrary
           codimension
    • Authors: Sven Pistre; Heiko von der Mosel
      Abstract: Abstract We investigate a connection between the two-dimensional Finslerian area functional in arbitrary codimension based on the Busemann–Hausdorff volume form, and well-investigated Cartan functionals to solve the Plateau problem in Finsler spaces. This generalises a previously known result due to Overath and von der Mosel (Manuscripta Math 143(3–4):273–316, 2014) to higher codimension.
      PubDate: 2017-07-05
      DOI: 10.1007/s40879-017-0163-3
       
  • Pseudo-Finsleroid metrics with two axes
    • Authors: Gennadii S. Asanov
      Abstract: Abstract A pseudo-Finsleroid metric function F of the two-axes structure that involves the vertical axis and the horizontal axis is proposed assuming constancy of the curvature of indicatrix. The curvature is negative and the signature of the Finslerian metric tensor is exactly \((+-\cdots )\) . The function F endows the tangent space with the geometry which possesses many interesting Finslerian properties. The use of the angle representation is the underlying method which has been conveniently and successfully applied. The appearance of the positive-definite Finsleroid metric function in the horizontal sections of the tangent space is established.
      PubDate: 2017-06-30
      DOI: 10.1007/s40879-017-0160-6
       
  • Grothendieck groups of categories of abelian varieties
    • Authors: Ari Shnidman
      Abstract: Abstract We compute the Grothendieck group of the category of abelian varieties over an algebraically closed field k. We also compute the Grothendieck group of the category of A-isotypic abelian varieties, for any simple abelian variety A, assuming k has characteristic 0, and for any elliptic curve A in any characteristic.
      PubDate: 2017-06-27
      DOI: 10.1007/s40879-017-0159-z
       
  • Finsler geodesics, periodic Reeb orbits, and open books
    • Authors: Max Dörner; Hansjörg Geiges; Kai Zehmisch
      Abstract: Abstract We survey some results on the existence (and non-existence) of periodic Reeb orbits on contact manifolds, both in the open and closed case. We place these statements in the context of Finsler geometry by including a proof of the folklore theorem that the Finsler geodesic flow can be interpreted as a Reeb flow. As a mild extension of previous results we present existence statements on periodic Reeb orbits on contact manifolds with suitable supporting open books.
      PubDate: 2017-06-22
      DOI: 10.1007/s40879-017-0158-0
       
  • W-algebras for Argyres–Douglas theories
    • Authors: Thomas Creutzig
      Abstract: Abstract The Schur index of the \((A_1, X_n)\) -Argyres–Douglas theory is conjecturally a character of a vertex operator algebra. Here such vertex algebras are found for the \(A_{\text {odd}}\) and \(D_{\text {even}}\) -type Argyres–Douglas theories. The vertex operator algebra corresponding to \(A_{2p-3}\) -Argyres–Douglas theory is the logarithmic -algebra of Creutzig et al. (Lett Math Phys 104(5):553–583, 2014), while the one corresponding to \(D_{2p}\) , denoted by , is realized as a non-regular quantum Hamiltonian reduction of \(L_{k}(\mathfrak {sl}_{p+1})\) at level . For all n one observes that the quantum Hamiltonian reduction of the vertex operator algebra of \(D_n\) -Argyres–Douglas theory is the vertex operator algebra of \(A_{n-3}\) -Argyres–Douglas theory. As a corollary, one realizes the singlet and triplet algebras (the vertex algebras associated to the best understood logarithmic conformal field theories) as quantum Hamiltonian reductions as well. Finally, characters of certain modules of these vertex operator algebras and the modular properties of their meromorphic continuations are given.
      PubDate: 2017-06-22
      DOI: 10.1007/s40879-017-0156-2
       
  • Flag curvatures of homogeneous Finsler spaces
    • Authors: Libing Huang
      Abstract: Abstract We introduce the notions of spray vector and connection operator to give efficient curvature formulas for a homogeneous Finsler space. Thus the flag curvatures can be computed in the Lie algebra level. Applying these formulas, one can show that in several occasions the structure of the Lie algebra may have influence over the signs of the flag curvatures, regardless of the underlying Finsler metric. Some concrete examples are constructed to illustrate the concepts and the curvature behavior in Finsler geometry.
      PubDate: 2017-06-22
      DOI: 10.1007/s40879-017-0157-1
       
  • Curves on surfaces of mixed characteristic
    • Authors: Michael McQuillan
      Abstract: Abstract The classification of foliated surfaces (McQuillan in Pure Appl Math Q 4(3):877–1012, 2008) is applied to the study of curves on surfaces with big co-tangent bundle and varying moduli, be it purely in characteristic zero, or, more generally when the characteristic is mixed. Almost everything that one might naively imagine is true, but with one critical exception: rational curves on bi-disc quotients which aren’t quotients of products of curves are Zariski dense in mixed characteristic. The logical repercussions in characteristic zero of this exception are not negligible.
      PubDate: 2017-06-12
      DOI: 10.1007/s40879-017-0141-9
       
  • Concavity of Perelman’s $$\mathcal {W}$$ W -functional over the space of
           Kähler potentials
    • Authors: Nefton Pali
      Abstract: Abstract The concavity of Perelman’s \(\mathcal {W}\) -functional over a neighborhood of a Kähler–Ricci soliton inside the space of Kähler potentials is a direct consequence of author’s solution of the variational stability problem for Kähler–Ricci solitons. We provide a new and rather simple proof of this particular fact. This new proof uses in minor part some elementary formulas obtained in our previous work.
      PubDate: 2017-06-08
      DOI: 10.1007/s40879-017-0155-3
       
  • On a special type of generalized Berwald manifolds: semi-symmetric linear
           connections preserving the Finslerian length of tangent vectors
    • Authors: Csaba Vincze
      Abstract: Abstract A generalized Berwald manifold is a Finsler manifold admitting a linear connection on the base manifold such that parallel transports preserve the Finslerian length of tangent vectors (compatibility condition). If the linear connection preserving the Finslerian length of tangent vectors has zero torsion then we have a classical Berwald manifold. Another important type of generalized Berwald manifolds admits semi-symmetric compatible linear connections. This means that the torsion tensor is decomposable in a special way. Among others the so-called Wagner manifolds belong to this special class of spaces. In the sense of Hashiguchi and Ychijyo’s classical results, Wagner manifolds play an important role in the conformal Finsler geometry as conformally Berwald Finsler manifolds. One of the main problems is the intrinsic characterization of compatible linear connections on a Finsler manifold. We are also interested in the inverse problem of compatible linear connections on Finsler manifolds. Let a metric linear connection \(\nabla \) on a Riemannian manifold be given. After formulating a necessary and sufficient condition for \(\nabla \) to be metrizable by a non-Riemannian metric function we present a geometric construction of the (non-Riemannian) indicatrix hypersurfaces in terms of generalized conics—in case of a Riemannian manifold the indicatrices are conics (quadratic hypersurfaces) in the classical sense. New perspectives of the theory of generalized Berwald manifolds have been supported by the solution of Matsumoto’s problem of conformally equivalent Berwald manifolds in 2005: the scale function between two non-Riemannian (classical) Berwald manifolds must be constant. The proof is based on metrics and differential forms given by averaging. They also play the central role in the intrinsic characterization of semi-symmetric compatible linear connections in general. Using average processes is a new and important trend in Finsler geometry. The so-called associated Riemannian metric is introduced by choosing the Riemann–Finsler metric to be averaged. Another important type of associated objects is the so-called associated Randers metric. The one-form perturbation of the associated Riemannian metric is given by the integration of the contracted-normalized Riemann–Finsler metric on the indicatrix hypersurface point by point. Some applications are also presented in case of Funk metrics. Since the associated objects inherit the compatibility properties, the generalized Berwald manifold theory for spaces of special metrics is of special interest. In what follows we present some recent results of the theory of generalized Berwald manifolds. Especially we focus on the case of semi-symmetric compatible linear connections. We also discuss the case of Randers metrics. Asanov’s Finsleroid-Finsler metrics will be characterized as the solutions of a conformal rigidity problem and we prove that a Finsleroid-Finsler manifold is a Landsberg manifold (Unicorn) if and only if it is a generalized Berwald manifold with a semi-symmetric compatible linear connection.
      PubDate: 2017-06-08
      DOI: 10.1007/s40879-017-0153-5
       
  • Group actions on categories and Elagin’s theorem revisited
    • Authors: Evgeny Shinder
      Abstract: Abstract After recalling basic definitions and constructions for a finite group G action on a k-linear category we give a concise proof of the following theorem of Elagin: if \(\mathscr {C}= \langle \mathscr {A}, \mathscr {B}\rangle \) is a semiorthogonal decomposition of a triangulated category which is preserved by the action of G, and \(\mathscr {C}^G\) is triangulated, then there is a semiorthogonal decomposition \(\mathscr {C}^G = \langle \mathscr {A}^G, \mathscr {B}^G \rangle \) . We also prove that any G-action on \(\mathscr {C}\) is weakly equivalent to a strict G-action which is the analog of the Coherence theorem for monoidal categories.
      PubDate: 2017-06-02
      DOI: 10.1007/s40879-017-0150-8
       
  • An approach to the Jacobian Conjecture in terms of irreducibility and
           square-freeness
    • Authors: Piotr Jędrzejewicz; Janusz Zieliński
      Abstract: Abstract We present some motivations and discuss various aspects of an approach to the Jacobian Conjecture in terms of irreducible elements and square-free elements.
      PubDate: 2017-05-01
      DOI: 10.1007/s40879-017-0145-5
       
 
 
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