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Semi-stable Higgs sheaves and Bogomolov type inequality

Research paper by Jiayu Li, Chuanjing Zhang, Xi Zhang

Indexed on: 04 Jan '16Published on: 04 Jan '16Published in: Mathematics - Differential Geometry



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.