Semi-stability for Holomorphic Bundles with Global Sections

Chuanjing Zhang

doi:10.4208/jpde.v29.n3.4

Semi-stability for Holomorphic Bundles with Global Sections

Authors

Chuanjing Zhang School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

DOI:

https://doi.org/10.4208/jpde.v29.n3.4

Keywords:

τ-semi-stable;approximate τ-Hermitian-Einstein structure;holomorphic pair

Abstract

In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair (E,Φ). As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.

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Published

2016-09-05

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Issue

Vol. 29 No. 3 (2016)

Section

Articles

How to Cite

Semi-stability for Holomorphic Bundles with Global Sections. (2016). Journal of Partial Differential Equations, 29(3), 204-217. https://doi.org/10.4208/jpde.v29.n3.4