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arXiv · 1907.04010

Zero loci of Bernstein-Sato ideals

Nero Budur·Robin van der Veer·Lei Wu·Peng Zhou
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Abstract

We prove a conjecture of the first author relating the Bernstein-Sato ideal of a finite collection of multivariate polynomials with cohomology support loci of rank one complex local systems. This generalizes a classical theorem of Malgrange and Kashiwara relating the b-function of a multivariate polynomial with the monodromy eigenvalues on the Milnor fibers cohomology.

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Nero Budur, Robin van der Veer, Lei Wu, Peng Zhou. 2019-07-09. Zero loci of Bernstein-Sato ideals. https://arxiv.org/abs/1907.04010

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