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MATHEMATICS (659 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: 3)
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: 25)
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: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
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: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
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: 2)
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: 6)
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: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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: 11)
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: 7)
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   (Followers: 1)
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: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
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: 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: 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   (Followers: 1)
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: 9)
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: 20)
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: 3)
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: 28)
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)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
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)
Eco Matemático     Open Access  
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: 5)
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)

        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  [2352 journals]
  • The influence of some primary subgroups on the structure of finite groups
    • Authors: Ping Kang
      Abstract: Suppose that G is a finite group and H is a subgroup of G. H is said to be an ss-quasinormal subgroup of G if there is a subgroup B of G such that \(G=HB\) and H permutes with every Sylow subgroup of B; H is said to be c-normal in G if G has a normal subgroup T such that \(G=HT\) and , where \(H_{G}\) is the normal core of H in G. We fix in every non-cyclic Sylow subgroup P of G some subgroup D satisfying \(1< D < P \) and study the structure of G under the assumption that every subgroup H of P with \( H = D \) is either ss-quasinormal or c-normal in G. Some recent results are generalized and unified.
      PubDate: 2017-11-08
      DOI: 10.1007/s40879-017-0196-7
  • Reconstructing toric quiver flag varieties from a tilting bundle
    • Authors: Alastair Craw; James Green
      Abstract: We prove that every toric quiver flag variety Y is isomorphic to a fine moduli space of cyclic modules over the algebra \(\mathrm{End}(T)\) for some tilting bundle T on Y. This generalises the well-known fact that can be recovered from the endomorphism algebra of .
      PubDate: 2017-11-07
      DOI: 10.1007/s40879-017-0194-9
  • Editors’ foreword for the special issue “Finsler geometry, new methods
           and perspectives”
    • Authors: Vladimir S. Matveev; Athanase Papadopoulos; Hans-Bert Rademacher; Sorin V. Sabau
      PubDate: 2017-11-06
      DOI: 10.1007/s40879-017-0195-8
  • Geodesics on strong Kropina manifolds
    • Authors: Sorin V. Sabau; Kazuhiro Shibuya; Ryozo Yoshikawa
      Abstract: We study the behavior of the geodesics of strong Kropina spaces. The global and local aspects of geodesics theory are discussed. Our theory is illustrated with several examples.
      PubDate: 2017-11-02
      DOI: 10.1007/s40879-017-0189-6
  • The moduli space of binary quintics
    • Authors: Andrew du Plessis; Charles Terence Clegg Wall
      Abstract: We recall the classical construction and theory of invariants for the case of binary quintics, describe the moduli space, and identify the curves in it defined by quintics having symmetry. We describe the real case, and identify the number of real roots depending on the point in moduli space. Our main interest is in five curves of binary quintics defined as linear sections of plane curves with infinite symmetry groups: these play a role in the canonical stratification of jet space, so we describe their singularities and count their intersections. All this is done in the classical case. Thereafter we analyse the changes to be made to the whole theory when we work in characteristic 2.
      PubDate: 2017-11-01
      DOI: 10.1007/s40879-017-0187-8
  • Anosov subgroups: dynamical and geometric characterizations
    • Authors: Michael Kapovich; Bernhard Leeb; Joan Porti
      Abstract: We study infinite covolume discrete subgroups of higher rank semisimple Lie groups, motivated by understanding basic properties of Anosov subgroups from various viewpoints (geometric, coarse geometric and dynamical). The class of Anosov subgroups constitutes a natural generalization of convex cocompact subgroups of rank one Lie groups to higher rank. Our main goal is to give several new equivalent characterizations for this important class of discrete subgroups. Our characterizations capture “rank one behavior” of Anosov subgroups and are direct generalizations of rank one equivalents to convex cocompactness. Along the way, we considerably simplify the original definition, avoiding the geodesic flow. We also show that the Anosov condition can be relaxed further by requiring only non-uniform unbounded expansion along the (quasi)geodesics in the group.
      PubDate: 2017-10-30
      DOI: 10.1007/s40879-017-0192-y
  • Extending small arcs to large arcs
    • Authors: Simeon Ball
      Abstract: An arc is a set of vectors of the k-dimensional vector space over the finite field with q elements \({\mathbb {F}}_q\) , in which every subset of size k is a basis of the space, i.e. every k-subset is a set of linearly independent vectors. Given an arc G in a space of odd characteristic, we prove that there is an upper bound on the largest arc containing G. The bound is not an explicit bound but is obtained by computing properties of a matrix constructed from G. In some cases we can also determine the largest arc containing G, or at least determine the hyperplanes which contain exactly \(k-2\) vectors of the large arc. The theorems contained in this article may provide new tools in the computational classification and construction of large arcs.
      PubDate: 2017-10-30
      DOI: 10.1007/s40879-017-0193-x
  • Osculating behavior of the Kummer surface in
    • Authors: Emilia Mezzetti
      Abstract: In an article of 1967 Edge gave a description of some beautiful geometric properties of the Kummer surface complete intersection of three quadrics in . Working on it, Dye proved in 1982 and 1992 that all its osculating spaces have dimension less than the expected 5. Here we discuss these results, also in the light of some recent result about varieties with hypo-osculating behaviour.
      PubDate: 2017-10-24
      DOI: 10.1007/s40879-017-0191-z
  • Moving planes, Jacobi curves and the dynamical approach to Finsler
    • Authors: Carlos Eduardo Durán; Henrique Vitório
      Abstract: We express invariants of Finsler manifolds in a geometrical way by means of using moving planes and their associated Jacobi curves, which are curves in a fixed homogeneous Grassmannian manifold. We also use this language to review some applications.
      PubDate: 2017-10-24
      DOI: 10.1007/s40879-017-0190-0
  • Generic polynomials for cyclic function field extensions over certain
           finite fields
    • Authors: Sophie Marques
      Abstract: We find all the generic polynomials for geometric \(\ell \) -cyclic function field extensions over the finite fields \(\mathbb {F}_q\) where \(q= p^n\) , p prime integer such that .
      PubDate: 2017-10-24
      DOI: 10.1007/s40879-017-0188-7
  • Wind Riemannian spaceforms and Randers–Kropina metrics of constant
           flag curvature
    • Authors: Miguel Angel Javaloyes; Miguel Sánchez
      Abstract: We provide an application of the recently introduced wind Riemmanian structures to the understanding of Randers metrics of constant flag curvature (CFC). Any wind Riemannian structure is constructed from a Riemannian metric and a vector field with no restriction on its norm. The local and global classifications for wind Riemannian structures of CFC are obtained, generalizing both, the celebrated classification of the CFC Randers case by Bao, Robles and Shen, and its extension to the Kropina case by Yoshikawa, Okubo and Sabau. Remarkably, any incomplete CFC Randers metric can be extended globally to a complete wind Riemannian structure of CFC, providing then a neat interpretation of the Randers global classification.
      PubDate: 2017-10-16
      DOI: 10.1007/s40879-017-0186-9
  • Metric geometry of the Kobayashi metric
    • Authors: Hervé Gaussier; Harish Seshadri
      Abstract: We present classical results and recent developments concerning the Kobayashi metric on domains in \(\mathbb {C}^n\) . In particular, we discuss the questions of holomorphicity of isometries and Gromov hyperbolicity of the metric.
      PubDate: 2017-10-11
      DOI: 10.1007/s40879-017-0177-x
  • Powers of Jacobi triple product, Cohen’s numbers and the Ramanujan
           $${\Delta }$$ Δ -function
    • Authors: Valery Gritsenko; Haowu Wang
      Abstract: We show that the eighth power of the Jacobi triple product is a Jacobi–Eisenstein series of weight 4 and index 4 and we calculate its Fourier coefficients. As applications we obtain explicit formulas for the eighth powers of theta-constants of arbitrary order and the Fourier coefficients of the Ramanujan \({\Delta }\) -function \({\Delta }(\tau )=\eta ^{24}(\tau ),\eta ^{12}(\tau )\) and \(\eta ^{8}(\tau )\) in terms of Cohen’s numbers H(3, N) and H(5, N). We give new formulas for the number of representations of integers as sums of eight higher figurate numbers. We also calculate the sixteenth and the twenty-fourth powers of the Jacobi theta-series using the basic Jacobi forms.
      PubDate: 2017-10-10
      DOI: 10.1007/s40879-017-0185-x
  • On systolic zeta functions
    • Authors: Ivan Babenko; Daniel Massart
      Abstract: We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As a consequence we obtain an inequality analogous to Gromov’s classical intersystolic inequality, but taking the whole homology length spectrum into account rather than just the systole.
      PubDate: 2017-10-06
      DOI: 10.1007/s40879-017-0181-1
  • A remark on the stabilized symplectic embedding problem for ellipsoids
    • Authors: Dusa McDuff
      Abstract: This note constructs sharp obstructions for stabilized symplectic embeddings of an ellipsoid into a ball, in the case when the initial four-dimensional ellipsoid has ‘eccentricity’ of the form \(3\ell -1\) for some integer \(\ell \) .
      PubDate: 2017-10-06
      DOI: 10.1007/s40879-017-0184-y
  • Log terminal singularities, platonic tuples and iteration of Cox rings
    • Authors: Ivan Arzhantsev; Lukas Braun; Jürgen Hausen; Milena Wrobel
      Abstract: Looking at the well understood case of log terminal surface singularities, one observes that each of them is the quotient of a factorial one by a finite solvable group. The derived series of this group reflects an iteration of Cox rings of surface singularities. We extend this picture to log terminal singularities in any dimension coming with a torus action of complexity one. In this setting, the previously finite groups become solvable torus extensions. As explicit examples, we investigate compound du Val threefold singularities. We give a complete classification and exhibit all the possible chains of iterated Cox rings.
      PubDate: 2017-10-04
      DOI: 10.1007/s40879-017-0179-8
  • On Edge’s correspondence associated with $$\cdot 222$$ · 222
    • Authors: Ichiro Shimada
      Abstract: We describe explicitly the correspondence of Edge between the set of planes contained in the Fermat cubic fourfold in characteristic 2, and the set of lattice points T of the Leech lattice such that OABT is a regular tetrahedron, where O is the origin of , and A and B are fixed points of such that OAB is a regular triangle of edge length 2. Using this description, we present Conway’s isomorphism from to in terms of matrices.
      PubDate: 2017-09-27
      DOI: 10.1007/s40879-017-0183-z
  • Classification of cubic surfaces with twenty-seven lines over the finite
           field of order thirteen
    • Authors: Anton Betten; James W. P. Hirschfeld; Fatma Karaoglu
      Abstract: In Hirschfeld (J Austral Math Soc 4(1):83–89, 1964), the existence of the cubic surface which arises from a double-six over the finite field of order four was considered. In Hirschfeld (Rend Mat Appl 26:115–152, 1967), the existence and the properties of the cubic surfaces over the finite fields of odd and even order was discussed and classified over the fields of order seven, eight, nine. In this paper, cubic surfaces with twenty-seven lines over the finite field of thirteen elements are classified.
      PubDate: 2017-09-27
      DOI: 10.1007/s40879-017-0182-0
  • Many Eberlein–Grothendieck spaces have no non-trivial convergent
    • Authors: Vladimir V. Tkachuk
      Abstract: We establish that a monolithic compact space X is not scattered if and only if has a dense subset without non-trivial convergent sequences. Besides, for any cardinal \(\kappa \geqslant \mathfrak {c}\) , the space \(\mathbb {R}^\kappa \) has a dense subspace without non-trivial convergent sequences. If X is an uncountable \(\sigma \) -compact space of countable weight, then any dense set has a dense subspace without non-trivial convergent sequences. We also prove that for any countably compact sequential space X, if has a dense k-subspace, then X is scattered.
      PubDate: 2017-09-22
      DOI: 10.1007/s40879-017-0180-2
  • Cartan’s incomplete classification and an explicit ambient metric of
           holonomy $$\mathrm{G}_2^*$$ G 2 ∗
    • Authors: Travis Willse
      Abstract: In his 1910 “Five Variables” paper, Cartan solved the equivalence problem for the geometry of (2, 3, 5) distributions and in doing so demonstrated an intimate link between this geometry and the exceptional simple Lie groups of type \(\mathrm{G}_2\) . He claimed to produce a local classification of all such (complex) distributions which have infinitesimal symmetry algebra of dimension at least 6 (and which satisfy a natural uniformity condition), but in 2013 Doubrov and Govorov showed that this classification misses a particular distribution \(\mathbf {E}\) . We produce a closed form for the Fefferman–Graham ambient metric \({\smash {{\smash {\widetilde{g}}}}}_{\mathbf {E}}\) of the conformal class induced by (a real form of) \(\mathbf {E}\) , expanding the small catalogue of known explicit, closed-form ambient metrics. We show that the holonomy group of \(\smash {{\smash {\widetilde{g}}}_{\mathbf {E}}}\) is the exceptional group \({\smash {\mathrm{G}}_2^*}\) and use that metric to give explicitly a projective structure with normal projective holonomy equal to that group. We also present some simple but apparently novel observations about ambient metrics of general left-invariant conformal structures that were used in the determination of the explicit formula for \(\smash {{\smash {\widetilde{g}}}_{\mathbf {E}}}\) .
      PubDate: 2017-09-12
      DOI: 10.1007/s40879-017-0178-9
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