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Hyperbolicity of singular spaces
We study the hyperbolicity of singular quotients of bounded symmetric
domains. We give effective criteria for such quotients to satisfy
Green-Griffiths-Lang's conjectures in both analytic and algebraic settings. As
an application, we show that Hilbert modular varieties, except for a few
possible exceptions, satisfy all expected conjectures.Comment: Main results extended to arbitrary quotient singularities and all
bounded symmetric domain
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