On the comparison of nearby cycles via b-functions
Lei Wu
Journal of Singularities
volume 23 (2021), 92-106
Received: 7 June 2020. Received in revised form: 10 May 2021.
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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-filtration.
2010 Mathematical Subject Classification:
14F10; 32S30; 32S40
Key words and phrases:
D-module; perverse sheaf; b-function; nearby cycles; vanishing cycles
Author(s) information:
Lei Wu
Department of Mathematics
University of Utah
155 S 1400 E
Salt Lake City, UT 84112 USA
email: lwu@math.utah.edu
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