Semi-stable Higgs sheaves and Bogomolov type inequality

被引：20
|
作者：
Li, Jiayu [1 ,2 ]
Zhang, Chuanjing [1 ]
Zhang, Xi [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 56卷 / 03期
关键词：
HERMITIAN-EINSTEIN METRICS; YANG-MILLS CONNECTIONS; VECTOR-BUNDLES; HEAT KERNEL; NARASIMHAN; EXISTENCE; THEOREM;
D O I：
10.1007/s00526-017-1174-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study semi-stable Higgs sheaves over compact Kahler manifolds. We prove that there is an admissible approximate Hermitian-Einstein structure on a semistable reflexive Higgs sheaf and consequently, the Bogomolov type inequality holds on a semi-stable reflexive Higgs sheaf.
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页数：33
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