1.School of Mathematical Sciences,University of Science and Technology of China,Hefei,People’s Republic of China;2.AMSS, CAS,Beijing,People’s Republic of China
Abstract:
In this paper, we study semi-stable Higgs sheaves over compact Kähler manifolds. We prove that there is an admissible approximate Hermitian-Einstein structure on a semi-stable reflexive Higgs sheaf and consequently, the Bogomolov type inequality holds on a semi-stable reflexive Higgs sheaf.
