Hyperbolicity, automorphic forms and Siegel modular varieties
Algebraic Geometry
2015-03-03 v2 Complex Variables
Abstract
We study the hyperbolicity of compactifications of quotients of bounded symmetric domains by arithmetic groups. We prove that, up to an \'etale cover, they are Kobayashi hyperbolic modulo the boundary. Applying our techniques to Siegel modular varieties, we improve some former results of Nadel on the non-existence of certain level structures on abelian varieties over complex function fields.
Cite
@article{arxiv.1302.4723,
title = {Hyperbolicity, automorphic forms and Siegel modular varieties},
author = {Erwan Rousseau},
journal= {arXiv preprint arXiv:1302.4723},
year = {2015}
}
Comments
Final version. To appear in Annales Scientifiques de l'ENS