Ullmo, E;
Yafaev, A;
Algebraic flows on Shimura varieties.
Manuscripta Mathematica
10.1007/s00229-017-0949-0.
(In press).
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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.
| Type: | Article |
|---|---|
| Title: | Algebraic flows on Shimura varieties |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00229-017-0949-0 |
| Publisher version: | http://dx.doi.org/10.1007/s00229-017-0949-0 |
| Language: | English |
| Additional information: | This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Keywords: | math.NT, math.NT |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1524976 |
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