34 citations · 123 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Semistable Higgs bundles over compact Gauduchon manifolds
Yanci Nie, Xi Zhang
In this paper, we consider the existence of approximate Hermitian-Einstein structure and the semi-stability on Higgs bundles over compact Gauduchon manifolds. By using the continui…
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…
The conical Kähler-Ricci flow with weak initial data on Fano manifold
Jiawei Liu, Xi Zhang
In this paper, we prove the long-time existence and uniqueness of the conical Kähler-Ricci flow with weak initial data which admits density for some on Fano manifold.…