Listar por autor "Castro Jiménez, Francisco Jesús"
Mostrando ítems 1-20 de 42
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Ponencia
A computational approach to free divisors and logarithmic D-modules
(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.
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Artículo
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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Artículo
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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Artículo
A vanishing theorem for a class of logarithmic D-modules
(Cornell University, 2007)Let OX (resp. DX) be the sheaf of holomorphic functions (resp. the sheaf of linear differential operators with holomorphic ...
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Artículo
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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Trabajo Fin de Grado
Bases de Gröbner: eliminación y programación lineal entera
(2015-06)Gröbner basis is a basic concept in Computational Algebra; it was introduced by the Austrian mathematician Bruno Buchberger ...
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Artículo
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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Artículo
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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Capítulo de Libro
Computer algebra and algebraic analysis
(Universidad de La Rioja, 2010)Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría ...
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Artículo
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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Artículo
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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Artículo
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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Artículo
Exact cost minimization of a series-parallel system
(Cornell University, 2012)The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple ...
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Artículo
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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Artículo
Explicit Comparison Theorems for D -modules
(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 ...
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Artículo
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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Artículo
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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Artículo
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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Artículo
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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Artículo
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 ...