Kodaira-type Vanishings via Non-abelian Hodge Theory
Algebraic Geometry
2022-09-30 v3 Differential Geometry
Abstract
In this paper, we use non-abelian Hodge Theory to study Kodaira type vanishings and its generalizations. In particular, we generalize Saito vanishing using Mixed Twistor D-modules. We also generalize it to a Kawamata-Viehweg type vanishing using Q-divisors, and we also prove a relative version for a projective morphism.
Keywords
Cite
@article{arxiv.2207.09064,
title = {Kodaira-type Vanishings via Non-abelian Hodge Theory},
author = {Chuanhao Wei},
journal= {arXiv preprint arXiv:2207.09064},
year = {2022}
}
Comments
More details are added, 21 pages, comments and suggestions are welcome