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arxiv: math/0307179 · v1 · submitted 2003-07-12 · 🧮 math.RA · math.AC

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

classification 🧮 math.RA math.AC
keywords analyticbernstein-satoconstructiveexistencesabbahanalytiquesarticleassociated
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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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