Existence of Bernstein-Sato polynomials by using the analytic Grobner fan

Details Existence of Bernstein-Sato polynomials by using the analytic Grobner fan Existence of Bernstein-Sato polynomials by using the analytic Grobner fan

2004-06-14

arxiv.org/abs/math/0406260v1

Mathematics

Rings and Algebras

17 pages, 4 figures. This is a translation into english of the accepted version of math.RA/0307179 which is to appear in Compo

Scientific paper

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.

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