We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series ...

Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions ...

The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when ...

Gröbner basis is a basic concept in Computational Algebra; it was introduced by the Austrian mathematician Bruno Buchberger ...

We study integral representations of the Gevrey series solutions of irregular hypergeometric systems. In this paper we ...

A modified A-hypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a ...

We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated primes of I determined ...

The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple ...

We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...

Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the ...

We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated ...

Este artículo describe algunas aplicaciones del Álgebra Computacional al Análisis Algebraico, también conocido como teoría ...

Esta memoria versa sobre la irregularidad de los D-módulos hipergeométricos MA(β)(cf. Definición 3.1.3), introducidos p ...

We will give algorithms of computing bases of logarithmic cohomology groups for square-free polynomials in two variables.

We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an ...

This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the ...

Let M be a coherent module over the ring DX of linear differential operators on an analytic manifold X and let Z1, · · · ...

Let OX (resp. DX) be the sheaf of holomorphic functions (resp. the sheaf of linear differential operators with holomorphic ...

Let C[x] = C[x1, . . . , xn] be the ring of polynomials with complex coefficients and An the Weyl algebra of order n over ...

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 ...

We use the notion of a standard basis to study algebras of linear differential operators and finite type modules over these ...

In this paper we compare the approach of Brianc¸onand Maisonobe for computing Bernstein–Sato ideals—based on computations ...

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.

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 ...

This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works ...

El Análisis Algebraico, o teoría de D-m&oa cute;dulos, trata el estudio de los sistemas de ecuaciones -- en derivadas ...

The relationship between D-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. ...

We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module ...

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.

We prove in an explicit way a duality formula between two A2-modules Mlog and Mflog associated to a plane curve and we ...

We apply algorithmic techniques for comparing some D-modules associated to a kind of divisors in Cn.

Let I be a non-zero left ideal of the Weyl algebra An of order n over a field k and let L:R2n→R be a linear form defined ...

"La memoria tiene dos partes: La primera está dedicada a la comparación entre los métodos clásicos de Riquier-Janet (para ...

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].

La comparación de módulos finitamente generados sobre anillos de polinomios es un problema de gran dificultad no resuelto. ...

En el capítulo preliminar (Capítulo 0) se estudia la relación entre un módulo filtrado y el módulo graduado asociado y se ...