Benoit Cadorel, Erwan Rousseau, Behrouz Taji
Published 2017-10-24Version 1
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.
Frobenius integrability of certain $p$-forms on singular spaces
A Dolbeault-Grothendieck Resolution for Singular Spaces
Hyperbolicity and Specialness of Symmetric Powers
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