English

A strong hyperbolicity property of locally symmetric varieties

Algebraic Geometry 2016-06-14 v1

Abstract

We show that all subvarieties of a quotient of a bounded symmetric domain by a sufficiently small arithmetic discrete group of automorphisms are of general type. This result corresponds through the Green-Griffiths-Lang's conjecture to a well-known result of Nadel.

Keywords

Cite

@article{arxiv.1606.03972,
  title  = {A strong hyperbolicity property of locally symmetric varieties},
  author = {Yohan Brunebarbe},
  journal= {arXiv preprint arXiv:1606.03972},
  year   = {2016}
}