On the comparison of nearby cycles via b-functions

DOI10.5427/JSING.2021.23EzbMATH Open1461.14025arXiv2001.06521OpenAlexW3165377928MaRDI QIDQ4989701

Lei Wu

Publication date: 26 May 2021

Published in: Journal of Singularitiesl (Search for Journal in Brave)

Abstract: In this article, we give a simple proof of the comparison of nearby and vanishing cycles in the sense of Riemann-Hilbert correspondence following the idea of Beilinson and Bernstein, without using the Kashiwara-Malgrange $V$-filtrations.

Full work available at URL: https://arxiv.org/abs/2001.06521

zbMATH Keywords

vanishing cyclesperverse sheaf\(\mathcal{D}\)-modulenearby cycles\(b\)-function

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Deformations of complex singularities; vanishing cycles (32S30) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

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