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Listar Algebra por autor "Castro Jiménez, Francisco Jesús"
Mostrando ítems 1-20 de 31
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Artículo
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.
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Artículo
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, · · · ...
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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 ...
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Artículo
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, ...
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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 ...
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Capítulo de Libro
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 ...
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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 ...
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Artículo
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 ...
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Artículo
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 ...
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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 ...
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Artículo
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. ...
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Artículo
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 ...
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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 ...
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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 ...
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Gröbner δ-bases and Gröbner bases for differential operators
Castro Jiménez, Francisco Jesús; Moreno Frías, María Ángeles (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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Artículo
How to calculate the slopes of a D-module
Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Foundation Compositio Mathematica, 1996) -
Artículo
Irregular modified A-Hypergeometric systems
Castro Jiménez, Francisco Jesús; Fernández Fernández, María Cruz; Koike, Tatsuya; Takayama, Nobuki (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
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 ...
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Localization at hyperplane arrangements: combinatorics and D-modules
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 ...