Log D-modules and Index theorems
Algebraic Geometry
2020-01-07 v2
Abstract
We study log 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 varieties. The log index theorem naturally generalizes the Dubson-Kashiwara index theorem on smooth projective varieties.
Keywords
Cite
@article{arxiv.1904.09276,
title = {Log D-modules and Index theorems},
author = {Lei Wu and Peng Zhou},
journal= {arXiv preprint arXiv:1904.09276},
year = {2020}
}
Comments
Corrected a proof and some typos