English

Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques

Rings and Algebras 2007-05-23 v1 Commutative Algebra

Abstract

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 constructive proof of the result of C. Sabbah based on the notion of the analytic Grobner fan of a D-module.

Keywords

Cite

@article{arxiv.math/0307179,
  title  = {Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques},
  author = {Rouchdi Bahloul},
  journal= {arXiv preprint arXiv:math/0307179},
  year   = {2007}
}

Comments

in french, 16 pages, 4 figures