English

Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds

Algebraic Geometry 2025-03-04 v4 Complex Variables Differential Geometry

Abstract

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

Keywords

Cite

@article{arxiv.2405.10003,
  title  = {Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds},
  author = {Henri Guenancia and Mihai Păun},
  journal= {arXiv preprint arXiv:2405.10003},
  year   = {2025}
}

Comments

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