Hyperbolicity, automorphic forms and Siegel modular varieties
Hyperbolicity, automorphic forms and Siegel modular varieties
We study the hyperbolicity of compactifications of quotients of bounded symmetric domains by arithmetic groups.We prove that, up to a finite étale 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 …