Listar Artículos (Álgebra) por autor "Castro Jiménez, Francisco Jesús"
Mostrando ítems 1-20 de 24
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A computational approach to the D-module of meromorphic functions
(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.
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A flatness property for filtered D-modules
(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, · · · ...
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An algebraic approach to Integer Portfolio problems
(2011-05-01)Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the ...
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Cohomology of the complement of a free divisor
(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, ...
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Computational methods in algebra and analysis
(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 ...
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Computing localizations iteratively
(Cornell University, 2011)Let R = C[x] be a polynomial ring with complex coefficients and DX = Chx, ∂i be the Weyl algebra. Describing the ...
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Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation
(London Mathematical Society, 2018)Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions ...
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Encoding algebraic power series
(Springer, 2017)The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when ...
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Explicit calculations in rings of differential operators
(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 ...
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Free divisors and duality for D-modules
(Pleiades, 2002)The relationship between D-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. ...
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Gevrey expansions of hypergeometric integrals I
(Oxford University Press, 2015)We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we ...
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Gevrey Expansions of Hypergeometric Integrals II
(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
(Elsevier, 2011-08-01)We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...
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Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
(American Mathematical Society, 2011)We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...
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Gröbner δ-bases and Gröbner bases for differential operators
(Polish Academy of Sciences, Institute of Mathematics, 2002)This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works ...
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How to calculate the slopes of a D-module
(Foundation Compositio Mathematica, 1996) -
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Irregular modified A-Hypergeometric systems
(American Mathematical Society, 2015)A modified A-hypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a ...
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Linear nested Artin approximation theorem for algebraic power series
(Springer, 2018)We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series ...
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Localization at hyperplane arrangements: combinatorics and D-modules
(Elsevier, 2007-10-15)We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an ...
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Logarithmic cohomology of the complement of a plane curve
(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 ...