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math.DG2016
A note on curvature estimate of the Hermitian-Yang-Mills flow
Jiayu Li, Chuanjing Zhang, Xi Zhang
In this paper, we study the curvature estimate of the Hermitian-Yang-Mills flow on holomorphic vector bundles. In one simple case, we show that the curvature of the evolved Hermiti…
math.AP2016
The conical complex Monge-Ampère equations on Kähler manifolds
Jiawei Liu, Chuanjing Zhang
In this paper, by providing the uniform gradient estimates for a sequence of the approximating equations, we prove the existence, uniqueness and regularity of the conical parabolic…
math.DG2016★ 3 cited
Semi-stable Higgs sheaves and Bogomolov type inequality
Jiayu Li, Chuanjing Zhang, Xi Zhang
In this paper, we study semistable Higgs sheaves over compact Kähler manifolds, we prove that there is an approximate admissible Hermitian-Einstein structure on a semi-stable refle…