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arXiv · 2410.12753

Uniformization of klt pairs by bounded symmetric domains

Patrick Graf·Aryaman Patel
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Abstract

Given a complex-projective klt pair $(X, \Delta)$ with standard coefficients and such that $K_X + \Delta$ is ample, we determine necessary and sufficient conditions for the pair $(X, \Delta)$ 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.

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Patrick Graf, Aryaman Patel. 2024-10-16. Uniformization of klt pairs by bounded symmetric domains. https://arxiv.org/abs/2410.12753

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