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Orbifold Bogomolov-Gieseker inequalities on compact K\"ahler varieties

Differential Geometry 2025-11-06 v1 Algebraic Geometry

Abstract

In a previous paper, the orbifold Bogomolov-Gieseker inequality is proved for a stable reflexive sheaf on a compact K\"ahler variety with klt singularities. In this paper, we give a characterization on the stable reflexive sheaf when the Bogomolov-Gieseker equality holds.

Keywords

Cite

@article{arxiv.2511.03530,
  title  = {Orbifold Bogomolov-Gieseker inequalities on compact K\"ahler varieties},
  author = {Xin Fu and Wenhao Ou},
  journal= {arXiv preprint arXiv:2511.03530},
  year   = {2025}
}

Comments

32pages, comments are welcome