Uniformization of klt pairs by bounded symmetric domains
Algebraic Geometry
2024-10-17 v1 Complex Variables
Differential Geometry
Abstract
Given a complex-projective klt pair with standard coefficients and such that is ample, we determine necessary and sufficient conditions for the pair to be uniformized by a bounded symmetric domain. As an application, we obtain characterizations of orbifold quotients of the polydisc and of the four classical irreducible bounded symmetric domains in terms of Miyaoka-Yau-type Chern equalities.
Cite
@article{arxiv.2410.12753,
title = {Uniformization of klt pairs by bounded symmetric domains},
author = {Patrick Graf and Aryaman Patel},
journal= {arXiv preprint arXiv:2410.12753},
year = {2024}
}