English

Hermite--Einstein metrics in singular settings

Differential Geometry 2024-01-23 v2 Algebraic Geometry Complex Variables

Abstract

In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on compact normal K\"ahler spaces. If moreover the background variety has klt singularities, we obtain a much more precise result.

Keywords

Cite

@article{arxiv.2303.08773,
  title  = {Hermite--Einstein metrics in singular settings},
  author = {Junyan Cao and Patrick Graf and Philipp Naumann and Mihai Paun and Thomas Peternell and Xiaojun Wu},
  journal= {arXiv preprint arXiv:2303.08773},
  year   = {2024}
}

Comments

A few more references and comments added

R2 v1 2026-06-28T09:18:56.119Z