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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
Affiliation:
Department of Mathematics, Faculty of Science, Kobe University, 1-1 Rokkodai, Nada-ku, Kobe 657-8501, [email protected]
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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.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2005