Work

Uniformization of projective klt varieties by bounded symmetric domains

Year: 2026

Type: article

Abstract: Using results from non-abelian Hodge theory for klt spaces developed by Greb, Kebekus, Peternell and Taji, we deduce necessary and sufficient conditions for projective varieties with klt singularities to be uniformized by bounded symmetric domains. This generalizes a well known result of Simpson to the singular setting. We apply this to obtain explicit Miyaoka-Yau-type equalities to characterize singular quotients of the four classical irreducible bounded symmetric domains, and the polydisk.

Source: Selecta Mathematica

DOI: 10.1007/s00029-026-01172-8

Author: Aryaman Patel

Institution: Saarland University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Universität des Saarlandes