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

Rouchdi Bahloul
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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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Rouchdi Bahloul. 2004-06-14. Existence of Bernstein-Sato polynomials by using the analytic Grobner fan. https://arxiv.org/abs/math/0406260

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