Abstract Let Q∈ C [x1,..., xn] be a homogeneous polynomial of degree k> 0. We establish a
connection between the Bernstein–Sato polynomial bQ (s) and the degrees of the …

This is a survey on our recent results on logarithmic vector fields and on holonomic D-
modules for algebraic local cohomology classes supported on hypersurfaces with isolated …

The relationship between ${\cal D} $-modules and free divisors has been studied in a
general setting by L. Narv\'aez and FJ Calder\'on. Using the ideas of these works we prove …

Given a germ h of holomorphic function on (Cn, 0), we study the condition:“the ideal
AnnD1/h is generated by operators of order 1”. We obtain here full characterizations in the …

We propose in this work a computational criterion to test if a free divisor D⊂ Cn verifies the
Logarithmic Comparison Theorem (LCT); that is, whether the complex of logarithmic …

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 the properties required for $ D, x $ to satisfy the so-called …

Noncommutative Computer Algebra with Applications in Algebraic Analysis Page 1
Noncommutative Computer Algebra with Applications in Algebraic Analysis Von der …

We develop some basic results on modules over the Weyl algebra including the existence of
the Bernstein polynomial and the relationship between logarithmic modules and the so …

Abstract Let D⊂ X be a divisor in a complex analytic manifold. A natural problem is to
determine when the de Rham complex of meromorphic forms on X with poles along D is …

Let C [x]= C [x1,…, xn] be the ring of polynomials with complex coefficients and An the Weyl
algebra of order n over C. Elements in An are linear differential operators with polynomial …