Vanishing theorems for parabolic Higgs bundles
Algebraic Geometry
2018-08-31 v3
Abstract
This is a sequel to "Kodaira-Saito vanishing via Higgs bundles in positive characteristic" (arXiv:1611.09880). However, unlike the previous paper, all the arguments here are in characteristic zero. The main result is a Kodaira vanishing theorem for semistable parabolic Higgs bundles with trivial parabolic Chern classes. This implies a general semipositivity theorem. This also implies a Kodaira-Saito vanishing theorem for complex variations of Hodge structure.
Cite
@article{arxiv.1801.02562,
title = {Vanishing theorems for parabolic Higgs bundles},
author = {Donu Arapura and Feng Hao and Hongshan Li},
journal= {arXiv preprint arXiv:1801.02562},
year = {2018}
}
Comments
Final revision. To appear in Math. Res. Lett