Algebraic flows on Shimura varieties
Number Theory
2016-10-06 v1
Abstract
In this paper we formulate some conjectures about algebraic flows on Shimura varieties. In the first part of the paper we prove the `logarithmic Ax-Lindemann theorem'. We then prove a result concerning the topological closure of the images of totally geodesic subvarieties of symmetric spaces uniformising Shimura varieties. This is a special case of our conjectures.
Cite
@article{arxiv.1610.01487,
title = {Algebraic flows on Shimura varieties},
author = {Emmanuel Ullmo and Andrei Yafaev},
journal= {arXiv preprint arXiv:1610.01487},
year = {2016}
}