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arXiv · 1601.00729

Semi-stable Higgs sheaves and Bogomolov type inequality

Jiayu Li·Chuanjing Zhang·Xi Zhang
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Abstract

In this paper, we study semistable Higgs sheaves over compact Kähler manifolds, we prove that there is an approximate admissible Hermitian-Einstein structure on a semi-stable reflexive Higgs sheaf and consequently, the Bogomolove type inequality holds on a semi-stable reflexive Higgs sheaf.

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Jiayu Li, Chuanjing Zhang, Xi Zhang. 2016-01-05. Semi-stable Higgs sheaves and Bogomolov type inequality. https://arxiv.org/abs/1601.00729

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