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

2004/06/14 by Rouchdi Bahloul, Bahloul, Rouchdi
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.math/0406260

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

arxiv created 2004/06/14 · openalex publication_date 2004/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Gröbner fan of a D-module.

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