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arXiv · 1710.08832

Hyperbolicity of singular spaces

Benoit Cadorel·Erwan Rousseau·Behrouz Taji
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Abstract

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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Benoit Cadorel, Erwan Rousseau, Behrouz Taji. 2017-10-24. Hyperbolicity of singular spaces. https://arxiv.org/abs/1710.08832

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