In this paper we prove that the Bernstein–Sato polynomial of any free divisor for which the D
[s]-module D [s] hs admits a Spencer logarithmic resolution satisfies the symmetry property b …

Let X be a complex analytic manifold, D⊂ X a free divisor with jacobian ideal of linear type
(for example, a locally quasi-homogeneous free divisor), j: U= X− D↪ X the corresponding …

In this paper we survey the role of D-module theory in the comparison between logarithmic
and meromorphic de Rham complexes of integrable logarithmic connections with respect to …

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 introduce the concept of a prehomogeneous determinant as a possibly nonreduced
version of a linear free divisor. Both are special cases of prehomogeneous vector spaces …

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 …

In this chapter we study the comparison between the logarithmic and the meromorphic de
Rham complexes along a divisor in a complex manifold. We focus on the case of free …

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 …