3 papers
math.AG2004
Polynome de Bernstein-Sato generique local
Rouchdi Bahloul
Given a family of analytic functions near 0 \in C^n parametrized by a smooth space, we study the Bernstein polynomial of the fiber on an irreducible variety V of the space of param…
math.RA2003
Construction d'un element remarquable de l'ideal de Bernstein-Sato associe a deux courbes planes analytiques
Rouchdi Bahloul
Let and be two semi-universal deformations of quasi homogeneous polynomials in two variables respectively for the weight vectors and such that they satisfy…
math.RA2003
Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques
Rouchdi Bahloul
In 1987, C. Sabbah proved the existence of Bernstein-Sato polynomials associated with several analytic functions. The purpose of this article is to give a more elementary and const…