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Algebraic flows on Shimura varieties

Ullmo, Emmanuel; Yafaev, Andrei; (2018) Algebraic flows on Shimura varieties. Manuscripta Mathematica , 155 pp. 355-367. 10.1007/s00229-017-0949-0. Green open access

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Abstract

In this paper we prove two results on algebraic flows on Shimura varieties. One is the so-called ‘logarithmic’ Ax-Lindemann theorem. The other concerns the closure of the image of a totally geodesic sub-variety of a symmetric space by the uniformisation map.

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.
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.ucl.ac.uk/id/eprint/1524976
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