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arXiv · 2301.01433

Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds

Zhenghan Shen
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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.

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Zhenghan Shen. 2023-01-04. Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds. https://arxiv.org/abs/2301.01433

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