A complex hypersurface D in C n is a linear free divisor (LFD) if its module of logarithmic
vector fields has a global basis of linear vector fields. We classify all LFDs for n at most 4. By …

Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux
diviseurs libres Page 1 ANNA L E S D E L’INSTITU T FO U RIER ANNALES DE L’INSTITUT …

In this article, we prove that a free divisor in a three-dimensional complex manifold must be
Euler homogeneous in a strong sense if the cohomology of its complement is the …

The Bernstein–Sato polynomial of a hypersurface is an important object with many
applications. However, its computation is hard, as a number of open questions and …

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 …

El objetivo principal de la tesis doctoral es estudiar invariantes topológicos y algebraicos de
las singularidades de Yomdin-Lê utilizando Q-resoluciones encajadas. La diferencia …

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

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 …

A hypersurface D in Cn is a linear free divisor if the module of logarithmic vector fields along
D has a basis of global linear vector fields. It is then defined by a homogeneous polynomial …