Now showing items 99-118 of 209

    • Icon

      K-theory of derivators revisited  [Article]

      Muro Jiménez, Fernando; Raptis, George (Mathematical Sciences Publishers, 2017)
      We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the derivator arises from a good Waldhausen category. This K-theory is not invariant under general ...
    • Icon

      Katz-Radon transform of l-adic representations  [Article]

      Rojas León, Antonio (Duke University Press, 2012)
      We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of the fraction field of a strictly henselian discrete valuation ring with positive residual characteristic, ...
    • Icon

      L-functions of symmetric powers of the generalized Airy family of exponential sums  [Article]

      Haessig, C. Douglas; Rojas León, Antonio (2011-12)
      This paper looks at the L-function of the kth symmetric power of the -sheaf Aif over the affine line associated to the generalized Airy family of exponential sums. Using ℓ-adic techniques, we compute the degree of this ...
    • Icon

      La labor docente del profesor de matemáticas  [Article]

      Aranda Plata, Antonio (Sociedad Española de Matemática Aplicada, 2003)
    • Icon

      Large Galois images for Jacobian varieties of genus 3 curves  [Article]

      Arias de Reyna Domínguez, Sara; Armana, Cécile; Karemaker, Valentijn; Rebolledo, Marusia; Thomas, Lara; Vila Oliva, Núria (Polish Academy of Sciences, Institute of Mathematics, 2016)
      Given a prime number ℓ ≥ 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓ-torsion of ...
    • Icon

      Le théorème de continuité de la division dans les anneaux d'opérateurs différentiels  [Article]

      Mebkhout, Zoghman; Narváez Macarro, Luis (De Gruyter, 1998)
      In this paper we prove the continuity of Weierstrass-Hironaka division of finite order linear differential operators over a complex analytic manifold X with respect to the induced topology by a canonical one of Fréchet ...
    • Icon

      Le théorème du symbole total d’un opérateur différentiel p-adique  [Article]

      Mebkhout, Zoghman; Narváez Macarro, Luis (Consejo Superior de Investigaciones Científicas, 2010)
      Let X † be a smooth †-scheme (in the sense of Meredith) over a complete discrete valuation ring (V,m) of unequal characteristics (0, p) and let D†X†/V be the sheaf of V -linear endomorphisms of OX† whose reduction modulo ...
    • Icon

      Linear nested Artin approximation theorem for algebraic power series  [Article]

      Castro Jiménez, Francisco Jesús; Popescu, Dorin; Rond, Guillaume (Springer, 2018)
      We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify ...
    • Icon

      Local convolution of l-adic sheaves on the torus  [Article]

      Rojas León, Antonio (Springer, 2013-08)
      For K and L two l-adic perverse sheaves on the one-dimensional torus Gm,k¯ over the algebraic closure of a finite field, we show that the local monodromies of their convolution K ∗ L at its points of non-smoothness ...
    • Icon

      Localization at hyperplane arrangements: combinatorics and D-modules  [Article]

      Álvarez Montaner, Josep; Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2007-10-15)
      We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is ...
    • Icon

      Locally quasi-homogeneous free divisors are Koszul free  [Article]

      Calderón Moreno, Francisco Javier; Narváez Macarro, Luis (MAIK Nauka/Interperiodica, 2002)
      Let X be a complex analytic manifold and D ⊂ X be a free divisor. If D is locally quasi-homogeneous, then the logarithmic de Rham complex associated to D is quasi-isomorphic to Rj∗(CX\D), which is a perverse sheaf. On the ...
    • Icon

      Logarithmic cohomology of the complement of a plane curve  [Article]

      Calderón Moreno, Francisco Javier; Mond, David; Narváez Macarro, Luis; Castro Jiménez, Francisco Jesús (Springer, 2002-03)
      Let D, x be a plane curve germ. We prove that the complex Ω•(log D)x computes the cohomology of the complement of D, x only if D is quasihomogeneous. This is a partial converse to a theorem of F.J. Castro-Jiménez, D. Mond ...
    • Icon

      Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor  [Article]

      Calderón Moreno, Francisco Javier (Elsevier, 1999)
      We prove a structure theorem for differential operators in the 0-th term of the V-filtration relative to a free divisor. manifold. As an application, we give a formula for the logarithmic de Rham complex with respect to a ...
    • Icon

      MacMahon symmetric functions, the partition lattice, and young subgroups  [Article]

      Rosas Celis, Mercedes Helena (Elsevier, 2001-11)
      A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are ...
    • Icon

      Maltsiniotis's first conjecture for K1  [Article]

      Muro Jiménez, Fernando (Duke University Press, 2008)
      We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences ...
    • Icon

      Markoff-Rosenberger triples in arithmetic progression  [Article]

      González Jiménez, Enrique; Tornero Sánchez, José María (Elsevier, 2013-06)
      We study the solutions of the Rosenberg–Markoff equation ax2 + by2 + cz2 = dxyz (a generalization of the well–known Markoff equation). We specifically focus on looking for solutions in arithmetic progression that lie in ...
    • Icon

      Matematicas experimentales  [Article]

      Pérez Jiménez, Antonio de Jesús (Federación Española de Profesores de Matemáticas, 1992)
    • Icon

      Mesa Redonda «Investigación: Presente y Futuro», Granada, 6 de febrero de 2015  [Article]

      Rodríguez Pérez, Magdalena; Rojas León, Antonio (Real Sociedad Matemática Española, 2015)
    • Icon

      Milne's volume function and vector symmetric polynomials  [Article]

      Briand, Emmanuel; Rosas Celis, Mercedes Helena (Elsevier, 2009-05)
      The number of real roots of a system of polynomial equations fitting inside a given box can be counted using a vector symmetric polynomial introduced by P. Milne, the volume function. We provide the expansion of Milne’s ...
    • Icon

      Minimal resolutions of lattice ideals and integer linear programming  [Article]

      Briales Morales, Emilio; Campillo López. Antonio; Pisón Casares, Pilar; Vigneron Tenorio, Alberto (European Mathematical Society, 2003)
      A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Algebra. The non null reduced homology spaces of some simplicial complexes are ...