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

2003/07/12 by Rouchdi Bahloul, Bahloul, Rouchdi
Mathematics · #13P10 #16S32 #16W50 #16W70 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13P10 #msc:16S32 #msc:16W50 #msc:16W70

paper · pdf · doi:10.48550/arxiv.math/0307179

in french, 16 pages, 4 figures

arxiv created 2003/07/12 · arxiv updated 2009/12/01

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.

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