- idUS
- Listar por autor
Listar por autor "Castro Jiménez, Francisco Jesús"
Mostrando ítems 21-40 de 42
-
Artículo
Gröbner bases and logarithmic D-modules
Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2006)Let C[x] = C[x1, . . . , xn] be the ring of polynomials with complex coefficients and An the Weyl algebra of order n over ...
-
Artículo
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 ...
-
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 ...
-
Artículo
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 ...
-
Artículo
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 ...
-
Artículo
Logarithmic cohomology of the complement of a plane curve
Calderón Moreno, Francisco Javier; Mond, David; Narváez Macarro, Luis; Castro Jiménez, Francisco Jesús (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 ...
-
Artículo
Logarithmic Comparison Theorem and some Euler homogeneous free divisors
Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (American Mathematical Society, 2005)Let D, x be a free divisor germ in a complex manifold X of dimension n > 2. It is an open problem to find out which are ...
-
Tesis Doctoral
Métodos computacionales en los sistemas de ecuaciones en derivadas parciales
Moreno Frías, María Ángeles (2000)"La memoria tiene dos partes: La primera está dedicada a la comparación entre los métodos clásicos de Riquier-Janet (para ...
-
Tesis Doctoral
Métodos constructivos en álgebras de operadores diferenciales
Ucha Enríquez, José María (1999) -
Tesis Doctoral
Métodos efectivos en anillos de operadores diferenciales y en sistemas hipergeométricos
Hartillo Hermoso, Isabel (2002)El Análisis Algebraico, o teoría de D-m&oa cute;dulos, trata el estudio de los sistemas de ecuaciones -- en derivadas ...
-
Artículo
On irregular binomial D-modules
Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (Springer, 2012-12)We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated primes of I determined ...
-
Artículo
On some D-modules in dimension 2
Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Cornell University, 2000)We prove a duality formula for two D-modules arising from logarithmic derivations w.r.t. a plane curve. As an application we give a differential proof of a logarithmic comparison theorem in [4].
-
Artículo
On the computation of Bernstein–Sato ideals
Ucha Enríquez, José María; Castro Jiménez, Francisco Jesús (Elsevier, 2004)In this paper we compare the approach of Brianc¸onand Maisonobe for computing Bernstein–Sato ideals—based on computations ...
-
Tesis Doctoral
Presentaciones de módulos teorema de estabilidad de Suslin en Z[X]
Gago Vargas, Manuel Jesús (1999)La comparación de módulos finitamente generados sobre anillos de polinomios es un problema de gran dificultad no resuelto. ...
-
Artículo
Quasi-free divisors and duality
Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2004)We prove a duality theorem for some logarithmic D-modules associated with a class of divisors. We also give some results for the locally quasi-homogeneous case.
-
Tesis Doctoral
Soluciones Gevrey de sistemas hipergeométricos
Fernández Fernández, María Cruz (2010)Esta memoria versa sobre la irregularidad de los D-módulos hipergeométricos MA(β)(cf. Definición 3.1.3), introducidos p ...
-
Tesis Doctoral
Teorema de división para los operadores diferenciales y cálculo de multiplicidades de D-Modulos
Castro Jiménez, Francisco Jesús (1984-10-31)En el capítulo preliminar (Capítulo 0) se estudia la relación entre un módulo filtrado y el módulo graduado asociado y se ...
-
Artículo
Testing the Logarithmic Comparison Theorem for Free Divisors
Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Taylor and Francis, 2004) -
Artículo
The analytic standard fan of a D-module
Assi, Abdallah; Castro Jiménez, Francisco Jesús; Granger, Michel (Elsevier, 2001-10-24)We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module ...