Hyperbolicity of singular spaces
Algebraic Geometry
2018-10-01 v2 Complex Variables
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.
Cite
@article{arxiv.1710.08832,
title = {Hyperbolicity of singular spaces},
author = {Benoit Cadorel and Erwan Rousseau and Behrouz Taji},
journal= {arXiv preprint arXiv:1710.08832},
year = {2018}
}
Comments
Main results extended to arbitrary quotient singularities and all bounded symmetric domains