Log $\mathscr{D}$-modules and index theorems
We study log $\mathscr {D}$-modules on smooth log pairs and construct a comparison theorem of log de Rham complexes. The proof uses Sabbah’s generalized b-functions. As applications, we deduce a log index theorem and a Riemann-Roch type formula for perverse sheaves on smooth quasi-projective varieti...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2021-01-01
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Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509420000626/type/journal_article |