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Grobner fan for analytic D-modules with parameters

Rouchdi Bahloul
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Abstract

This is the first part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. The main result of this part is a constructibility result for the analytic Gröbner fan of a parametric ideal in the ring of analytic differential operators. In this part, the main tool is the notion of generic reduced standard basis.

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Rouchdi Bahloul. 2006-03-15. Grobner fan for analytic D-modules with parameters. https://arxiv.org/abs/math/0310369

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