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arXiv · 1610.01487

Algebraic flows on Shimura varieties

Emmanuel Ullmo·Andrei Yafaev
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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.

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Emmanuel Ullmo, Andrei Yafaev. 2016-10-05. Algebraic flows on Shimura varieties. https://arxiv.org/abs/1610.01487

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