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arXiv · 2301.07591

Uniformization of complex projective klt varieties by bounded symmetric domains

Aryaman Patel
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Abstract

Using classical results from Hodge theory and more contemporary ones valid for complex projective varieties with Kawamata log terminal (klt) singularities, we deduce necessary and sufficient conditions for such varieties to be uniformized by each of the four irreducible Hermitian symmetric spaces of non compact type. We also deduce necessary and sufficient conditions for uniformization by a polydisk, which generalizes a classical result of Simpson.

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Aryaman Patel. 2023-01-18. Uniformization of complex projective klt varieties by bounded symmetric domains. https://arxiv.org/abs/2301.07591

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