Zero loci of Bernstein-Sato ideals

• 成果类型: Article
• 署名作者: Budur, Nero; van der Veer, Robin; Wu, Lei; Zhou, Peng
• 署名单位: KU Leuven; Utah System of Higher Education; University of Utah; Universite Paris Saclay
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-01025-x
• 发表日期: 2021
• 页码: 45-72
• 关键词: vanishing proximity; systems

摘要

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.