Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds

Chuanjing Zhang

doi:10.1007/s11401-020-0193-x

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (2) : 177 -192. DOI: 10.1007/s11401-020-0193-x

Article

Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds

Chuanjing Zhang ¹^,^a

Author information +

History +

PDF

Abstract

In this paper, the author proves a generalized Donaldson-Uhlenbeck-Yau theorem for twisted holomorphic chain on a non-compact Kähler 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 numbers inequality

Cite this article

Download citation ▾

Chuanjing Zhang. Semistable Twisted Holomorphic Chains on Non-Compact Kähler Manifolds. Chinese Annals of Mathematics, Series B, 2020, 41(2): 177-192 DOI:10.1007/s11401-020-0193-x