Now showing items 1-20 of 42

    • Presentation
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      A computational approach to free divisors and logarithmic D-modules 

      Ucha Enríquez, José María; Castro Jiménez, Francisco Jesús (Universidad de La Rioja, Departamento de Matemáticas y Computación, 2001)
      We apply algorithmic techniques for comparing some D-modules associated to a kind of divisors in Cn.
    • Article
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      A computational approach to the D-module of meromorphic functions 

      Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (2001)
      Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.
    • Article
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      A flatness property for filtered D-modules 

      Castro Jiménez, Francisco Jesús; Granger, Michel (European Mathematical Society, 2007)
      Let M be a coherent module over the ring DX of linear differential operators on an analytic manifold X and let Z1, · · · ...
    • Article
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      A vanishing theorem for a class of logarithmic D-modules 

      Castro Jiménez, Francisco Jesús; Gago Vargas, J.; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (Cornell University, 2007)
      Let OX (resp. DX) be the sheaf of holomorphic functions (resp. the sheaf of linear differential operators with holomorphic ...
    • Article
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      An algebraic approach to Integer Portfolio problems 

      Castro Jiménez, Francisco Jesús; Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Puerto Albandoz, Justo; Ucha Enríquez, José María (2011-05-01)
      Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the ...
    • Final Degree Project
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      Bases de Gröbner: eliminación y programación lineal entera 

      González Parra, Alba (2015-06)
      Gröbner basis is a basic concept in Computational Algebra; it was introduced by the Austrian mathematician Bruno Buchberger ...
    • Article
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      Cohomology of the complement of a free divisor 

      Castro Jiménez, Francisco Jesús; Narváez Macarro, Luis; Mond, David (American Mathematical Society, 1996-08)
      We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, ...
    • Article
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      Computational methods in algebra and analysis 

      Castro Jiménez, Francisco Jesús (Sociedad Española de Matemática Aplicada, 2007-09)
      This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the ...
    • Chapter of Book
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      Computer algebra and algebraic analysis 

      Castro Jiménez, Francisco Jesús (Universidad de La Rioja, 2010)
      Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría ...
    • Article
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      Computing localizations iteratively 

      Castro Jiménez, Francisco Jesús; Leykin, Anton (Cornell University, 2011)
      Let R = C[x] be a polynomial ring with complex coefficients and DX = Chx, ∂i be the Weyl algebra. Describing the ...
    • Article
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      Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation 

      Alonso García, María Emilia; Castro Jiménez, Francisco Jesús; Hauser, Herwig; Koutschan, Christoph (London Mathematical Society, 2018)
      Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions ...
    • Article
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      Encoding algebraic power series 

      Alonso García, María Emilia; Castro Jiménez, Francisco Jesús; Hauser, Herwig (Springer, 2017)
      The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when ...
    • Article
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      Exact cost minimization of a series-parallel system 

      Castro Jiménez, Francisco Jesús; Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (Cornell University, 2012)
      The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple ...
    • Article
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      Explicit calculations in rings of differential operators 

      Castro Jiménez, Francisco Jesús; Granger, Michel (Société Mathématique de France, 2004)
      We use the notion of a standard basis to study algebras of linear differential operators and finite type modules over ...
    • Article
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      Explicit Comparison Theorems for D -modules 

      Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2001)
      We prove in an explicit way a duality formula between two A2-modules Mlog and Mflog associated to a plane curve and we ...
    • Article
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      Free divisors and duality for D-modules 

      Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Pleiades, 2002)
      The relationship between D-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. ...
    • Article
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      Gevrey expansions of hypergeometric integrals I 

      Castro Jiménez, Francisco Jesús; Granger, Michel (Oxford University Press, 2015)
      We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we ...
    • Article
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      Gevrey Expansions of Hypergeometric Integrals II 

      Castro Jiménez, Francisco Jesús; Fernández Fernández, María Cruz; Granger, Michel (Oxford University Press, 2019-12-01)
      We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain ...
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      Gevrey solutions of irregular hypergeometric systems in two variables 

      Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (Elsevier, 2011-08-01)
      We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...
    • Article
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      Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve 

      Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (American Mathematical Society, 2011)
      We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...