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| Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds |
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Citation： |
Chuanjing ZHANG.Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds[J].Chinese Annals of Mathematics B,2020,41(2):177~192 |
| Page view： 819
Net amount： 743 |
Authors： |
Chuanjing ZHANG; |
Foundation： |
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. |
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| 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. |
Keywords： |
Hermitian metric, Twisted holomorphic chain, Chern numbersinequality |
Classification： |
53C07, 58E15 |
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