Zero loci of Bernstein-Sato ideals
Algebraic Geometry
2020-11-30 v3
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.
Keywords
Cite
@article{arxiv.1907.04010,
title = {Zero loci of Bernstein-Sato ideals},
author = {Nero Budur and Robin van der Veer and Lei Wu and Peng Zhou},
journal= {arXiv preprint arXiv:1907.04010},
year = {2020}
}
Comments
Final version, to appear in Inventiones Math