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Semi-stable Higgs sheaves and Bogomolov type inequality

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Abstract

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

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China

    Jiayu Li, Chuanjing Zhang & Xi Zhang

  2. AMSS, CAS, Beijing, 100080, People’s Republic of China

    Jiayu Li

Authors
  1. Jiayu Li
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  2. Chuanjing Zhang
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  3. Xi Zhang
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Corresponding author

Correspondence to Xi Zhang.

Additional information

Communicated by J. Jost.

The authors were supported in part by NSF in China, Nos. 11625106, 11571332, 11526212.

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Li, J., Zhang, C. & Zhang, X. Semi-stable Higgs sheaves and Bogomolov type inequality. Calc. Var. 56, 81 (2017). https://doi.org/10.1007/s00526-017-1174-0

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  • DOI: https://doi.org/10.1007/s00526-017-1174-0

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