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Démonstration constructive de l'existence de polynômes de Bernstein–Sato pour plusieurs fonctions analytiques

Published online by Cambridge University Press:  01 December 2004

Rouchdi Bahloul
Rouchdi Bahloul
Affiliation:
Department of Mathematics, Faculty of Science, Kobe University, 1-1 Rokkodai, Nada-ku, Kobe 657-8501, Japanrouchdi@math.kobe-u.ac.jp
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Abstract

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In 1987, Sabbah proved the existence of Bernstein–Sato polynomials associated with several analytic functions. The purpose of this paper is to give a more elementary and constructive proof of Sabbah's result based on the notion of the analytic Gröbner fan of a $\mathcal D$-module.

Keywords

V-filtrationanalytic Gröbner fanBernstein–Sato polynomial16S3213P1016W5016W70
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 1 , January 2005 , pp. 175 - 191
Copyright
Foundation Compositio Mathematica 2005