Orbifold Bogomolov-Gieseker inequalities on compact K\"ahler varieties
Xin Fu, Wenhao Ou
TL;DR
This paper characterizes stable reflexive sheaves on compact Kähler varieties with klt singularities where the orbifold Bogomolov-Gieseker equality holds, extending previous inequality results.
Contribution
It provides a characterization of stable reflexive sheaves satisfying the Bogomolov-Gieseker equality on singular Kähler varieties.
Findings
Characterization of sheaves where equality holds
Extension of Bogomolov-Gieseker inequality to orbifold setting
Insights into stability conditions on singular varieties
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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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory