Existence of Bernstein-Sato polynomials by using the analytic Grobner fan
Rings and Algebras
2007-05-23 v1
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 Gr\"obner fan of a D-module.
Cite
@article{arxiv.math/0406260,
title = {Existence of Bernstein-Sato polynomials by using the analytic Grobner fan},
author = {Rouchdi Bahloul},
journal= {arXiv preprint arXiv:math/0406260},
year = {2007}
}
Comments
17 pages, 4 figures. This is a translation into english of the accepted version of math.RA/0307179 which is to appear in Compositio Math