Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 2003
- DOI:
- 10.48550/arXiv.math/0307179
- arXiv:
- arXiv:math/0307179
- Bibcode:
- 2003math......7179B
- Keywords:
-
- Mathematics - Rings and Algebras;
- Mathematics - Commutative Algebra;
- 16S32;
- 13P10;
- 16W50;
- 16W70
- E-Print:
- in french, 16 pages, 4 figures