Now showing items 153-172 of 209

    • IconRank one discrete valuations of power series fields  [Article]

      Herrera Govantes, Francisco Javier; Olalla Acosta, Miguel Ángel; Vicente Córdoba, José Luis (Taylor & Francis, 2007)
      In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in k[[X1, . . . , Xn]] is the maximal ideal. In sections 2 to 6 we give a construction of a system of parametric equations ...
    • IconRationality of trace and norm L-functions  [Article]

      Rojas León, Antonio (Duke University Press, 2012-06-15)
      For a given l-adic sheaf F on a commutative algebraic group G over a finite field k and an integer r ≥ 1 we define the r-th local norm Lfunction of F at a point t ∈ G(k) and prove its rationality. This function ...
    • IconRectangular symmetries for coefficients of symmetric functions  [Article]

      Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (American Mathematical Society, 2015)
      We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share symmetries related ...
    • IconReduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH  [Article]

      Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (Springer, 2009-12)
      We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This conjecture was proposed in the setting of Geometric Complexity Theory to show that deciding whether ...
    • IconReducible braids and Garside theory  [Article]

      González-Meneses López, Juan; Wiest, Bert (Geometry & Topology Publications, 2011)
      We show that reducible braids which are, in a Garside-theoretical sense, as simple as possible within their conjugacy class, are also as simple as possible in a geometric sense. More precisely, if a braid belongs to a ...
    • IconRepresentation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology  [Article]

      Muro Jiménez, Fernando (Springer, 2004)
      In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the ...
    • IconReprésentations banales de GLm(D)  [Article]

      Mínguez Espallargas, Alberto (Foundation Compositio Mathematica, 2013)
      Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. We define ...
    • IconReprésentations lisses modulo ℓ de GLm(D)  [Article]

      Mínguez Espallargas, Alberto; Sécherre, Vincent (Duke University Press, 2014-03-15)
      Soit F un corps localement compact non archimédien de caractéristique résiduelle p, soit D une algèbre à division centrale de dimension finie sur F et soit R un corps algébriquement clos de caractéristique différente de ...
    • IconResolutions of De Concini-Procesi ideals of hooks  [Article]

      Biagioli, Riccardo; Faridi, Sara; Rosas Celis, Mercedes Helena (Taylor & Francis, 2007)
      We find a minimal generating set for the defining ideal of the schematic intersection of the set of diagonal matrices with the closure of the conjugacy class of a nilpotent matrix indexed by a hook partition. The structure ...
    • IconRestriction of hypergeometric D-modules with respect to coordinate subspaces  [Article]

      Fernández Fernández, María Cruz; Walther, Uli (American Mathematical Society, 2011)
      We compute the restriction of an A-hypergeometric D-module with respect to a coordinate subspace under certain genericity conditions on the parameter.
    • IconSearching for simultaneous arithmetic progressions on elliptic curves  [Article]

      García Selfa, Irene; Tornero Sánchez, José María (Australian Mathematical Society, 2005-06)
      We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
    • IconSecondary homotopy groups  [Article]

      Baues, Hans Joachim; Muro Jiménez, Fernando (De Gruyter, 2008-07)
      Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also ...
    • IconSemblanza del profesor don Gonzalo Sánchez Vázquez  [Article]

      Pérez Jiménez, Antonio de Jesús (Federación Española de Profesores de Matemáticas, 1997-06)
    • IconSmash products for secondary homotopy groups  [Article]

      Bauer, Hans Joachim; Muro Jiménez, Fernando (Springer, 2008-10)
      We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered.
    • IconSolving the conjugacy problem in Garside groups by cyclic sliding  [Article]

      Gebhardt, Volker; González-Meneses López, Juan (Elsevier, 2010-06)
      We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is theoretically simpler than the usual one, with no loss of efficiency. This is done by replacing the well ...
    • IconSome combinatorial remarks on normal flatness in analytic spaces  [Article]

      Soto Prieto, Manuel Jesús; Tornero Sánchez, José María (Mathematical Society of the Republic of China, 2014-06)
      In this article we present a combinatorial treatment of normal flatness in analytic spaces, using the idea of equimultiple standard bases. We will prove, using purely combinatorial methods, a characterization theorem for ...
    • IconSome geometric aspects of Puiseux surfaces  [Article]

      Tornero Sánchez, José María (European Mathematical Society, 2003)
      The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series), using ...
    • IconSpecializations of MacMahon symmetric functions and the polynomial algebra  [Article]

      Rosas Celis, Mercedes Helena (Elsevier, 2002-03-06)
      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. We use a combinatorial construction of the different bases of the ...
    • IconStrongly quasipositive links with braid index 3 have positive Conway polynomial  [Article]

      Silvero Casanova, Marithania (World Scientific, 2016-10)
      Strongly quasipositive links are those links which can be seen as closures of positive braids in terms of band generators. In this paper we give a necessary condition for a link with braid index 3 to be strongly quasipositive, ...
    • IconSudokus and Gröbner Bases: not only a Divertimento  [Chapter of Book]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Martín Morales, Jorge; Ucha Enríquez, José María (2006)
      Sudoku is a logic-based placement puzzle. We recall how to translate this puzzle into a 9-colouring problem which is equivalent to a (big) algebraic system of polynomial equations. We study how far Gröbner bases techniques ...