Semi-stable Higgs sheaves and Bogomolov type inequality
Differential Geometry
2016-01-06 v1
Abstract
In this paper, we study semistable Higgs sheaves over compact K\"ahler manifolds, we prove that there is an approximate admissible Hermitian-Einstein structure on a semi-stable reflexive Higgs sheaf and consequently, the Bogomolove type inequality holds on a semi-stable reflexive Higgs sheaf.
Keywords
Cite
@article{arxiv.1601.00729,
title = {Semi-stable Higgs sheaves and Bogomolov type inequality},
author = {Jiayu Li and Chuanjing Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:1601.00729},
year = {2016}
}