Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds


Chuanjing ZHANG.Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds[J].Chinese Annals of Mathematics B,2020,41(2):177~192
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Chuanjing ZHANG;


This work was supported by the National Natural Science Foundation of China (Nos.11801535, 11625106, 11571332, 11721101), the China Postdoctoral Science Foundation (No.2018M642515) and the Fundamental Research Funds for the Central Universities.
Abstract: In this paper, the author proves a generalized Donaldson-Uhlenbeck-Yau theorem for twisted holomorphic chain on a non-compact K\"ahler manifold. As an application, the author obtains a Bogomolov type Chern numbers inequality for semistable twisted holomorphic chain.


Hermitian metric, Twisted holomorphic chain, Chern numbersinequality


53C07, 58E15
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