Nearby and vanishing cycles for perverse sheaves and D-modules

2017/09/28 by Lei Wu, Wu, Lei · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1709.10158

openalex publication_date 2017/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey nearby and vanishing cycles for both perverse sheaves and D-modules under analytic setting. Following ideas of A. Beilinson, M. Kashiwara and M. Saito, we explain in detail the proof of the comparison theorem between them in the sense of Riemann-Hilbert correspondence.

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