Bogomolov-Gieseker inequality for log terminal Kähler threefolds

Abstract

In this article we are mainly concerned with three dimensional compact Kähler spaces with log terminal singularities. We establish the orbifold version of the Bogomolov-Gieseker inequality for stable $\mathbb{Q}$-sheaves.

v4: One of the results claimed in the previous version was removed, due to a gap in the proof. The main application -Bogomolov-Gieseker inequality- is the same