Hyperbolicity of singular spaces
classification
🧮 math.AG
math.CV
keywords
conjectureshyperbolicityquotientssatisfysingularalgebraicanalyticapplication
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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.
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