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Subvarieties of Quotients of Bounded Symmetric Domains by Cadorel, Benoit is a scholarly article available to read on EtoBox.

What is Subvarieties of Quotients of Bounded Symmetric Domains about?

We present a new criterion for the complex hyperbolicity of a non-compact quotient X of a bounded symmetric domain. For each p $\ge$ 1, this criterion gives a precise condition under which the subvarieties V $\subset$ X with dim V $\ge$ p are of general type, and X is p-measure hyperbolic. Then, we give several applications related to ball quotients, or to the Siegel moduli space of principally polarized abelian varieties. For example, we determine effective levels l for which the moduli spaces of genus g curves with l-level structures are of general type.

Author

Cadorel, Benoit

Published

2018

Language

EN