paper

Orbifold Bogomolov-Gieseker inequalities on compact Kähler varieties

arXiv:2511.03530

Abstract

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

32pages, comments are welcome