Recent Submissions

  • Embeddability of Kimura 3ST Markov matrices 

    Roca Lacostena, Jordi; Fernández Sánchez, Jesús (2018-05-14)
    Article
    Open Access
    In this note, we characterize the embeddability of generic Kimura 3ST Markov matrices in terms of their eigenvalues. As a consequence, we are able to compute the volume of such matrices relative to the volume of all Markov ...
  • New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity 

    Gaset Rifa, Jordi; Román Roy, Narciso (American Institute of Mathematical Sciences, 2019-09-01)
    Article
    Open Access
    We present a covariant multisymplectic formulation for the Einstein-Palatini (or Metric-Affine) model of General Relativity (without energy-matter sources). As it is described by a first-order affine Lagrangian (in the ...
  • Monomial generators of complete planar ideals 

    Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem (2020-01-01)
    Article
    Restricted access - publisher's policy
    We provide an algorithm that computes a set of generators for any complete ideal in a smooth complex surface. More interestingly, these generators admit a presentation as monomials in a set of maximal contact elements ...
  • Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation 

    Gálvez Carrillo, Maria Immaculada; Kaufmann, Ralph M.; Tonks, Andrew (2020-01-01)
    Article
    Open Access
    We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer ...
  • Local cohomology of binomial edge ideals and their generic initial ideals 

    Álvarez Montaner, Josep (2019-01-01)
    Article
    Restricted access - publisher's policy
    We provide a Hochster type formula for the local cohomology modules of binomial edge ideals. As a consequence we obtain a simple criterion for the Cohen–Macaulayness and Buchsbaumness of these ideals and we describe their ...
  • Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects 

    Gálvez Carrillo, Maria Immaculada; Kaufmann, Ralph M.; Tonks, Andrew (2020-01-01)
    Article
    Open Access
    We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer ...
  • Tangential varieties of Segre–Veronese surfaces are never defective 

    Catalisano, Maria Virginia; Oneto, Alessandro (Springer, 2020-02-01)
    Article
    Restricted access - publisher's policy
    We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veronese surfaces. We exploit the typical approach of computing the Hilbert function of special 0-dimensional schemes on ...
  • Higher-dimensional Clifford-Severi equalities 

    Barja Yáñez, Miguel Ángel; Pardini, Rita; Stoppino, Lidia (2019-11-28)
    Article
    Restricted access - publisher's policy
    Abstract.LetXbe a smooth complex projective variety,a:X¿Aa mor-phism to an abelian variety such that Pic0(A) injects into Pic0(X) and letLbe a line bundle onX; denote byh0a(X,L) the minimum ofh0(X,L¿a*a) fora¿Pic0(A). The ...
  • Euler flows and singular geometric structures 

    Miranda Galcerán, Eva; Cardona Aguilar, Robert; Peralta-Salas, Daniel (Royal Society, 2019)
    Article
    Open Access
    Tichler proved in [24] that a manifold admitting a smooth non vanishing and closed one-form bers over a circle. More generally a manifold admitting k independent closed one-forms bers over a torus Tk. In this article we ...
  • Constraint algorithm for singular field theories in the k-cosymplectic framework 

    Gràcia Sabaté, Francesc Xavier; Rivas Guijarro, Xavier; Román Roy, Narciso (American Institute of Mathematical Sciences, 2020-03-15)
    Article
    Restricted access - publisher's policy
    The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of k-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of ...
  • Pruned cellular free resolutions of monomial ideals 

    Álvarez Montaner, Josep; Fernández Ramos, Óscar; Gimenez, Philippe (2020-01-01)
    Article
    Restricted access - publisher's policy
    Using discrete Morse theory, we give an algorithm that prunes the excess of information in the Taylor resolution and constructs a new cellular free resolution for an arbitrary monomial ideal. The pruned resolution is not ...
  • Generating functions associated to Frobenius algebras 

    Álvarez Montaner, Josep (Elsevier, 2019-12-01)
    Article
    Restricted access - publisher's policy
    We introduce a generating function associated to the homogeneous gen-erators of a graded algebra that measures how far is this algebra from being finitelygenerated. For the case of some algebras of Frobenius endomorphisms ...

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