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arXiv · 2511.03530

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

Xin Fu·Wenhao Ou
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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.

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Xin Fu, Wenhao Ou. 2025-11-05. Orbifold Bogomolov-Gieseker inequalities on compact K\"ahler varieties. https://arxiv.org/abs/2511.03530

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