Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds
Differential Geometry
2023-01-05 v1
Abstract
In this paper, we study the semi-stable twisted holomorphic vector bundles over compact Gauduchon manifolds. By using Uhlenbeck--Yau's continuity method, we show that the existence of approximate Hermitian--Einstein structure and the semi-stability of twisted holomorphic vector bundles are equivalent over compact Gauduchon manifolds. As its application, we show that the Bogomolov type inequality is also valid for a semi-stable twisted holomorphic vector bundle.
Cite
@article{arxiv.2301.01433,
title = {Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds},
author = {Zhenghan Shen},
journal= {arXiv preprint arXiv:2301.01433},
year = {2023}
}