Ullmo, E;
Yafaev, A;
(2018)
Holomorphic curves in compact Shimura varieties.
Archiv der Mathematik
, 111
(4)
pp. 379-388.
10.1007/s00013-018-1227-4.
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Abstract
We prove a hyperbolic analogue of the Bloch-Ochiai theorem about the Zariski closure of holomorphic curves in abelian varieties.
| Type: | Article |
|---|---|
| Title: | Holomorphic curves in compact Shimura varieties |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00013-018-1227-4 |
| Publisher version: | https://doi.org/10.1007/s00013-018-1227-4 |
| Language: | English |
| Additional information: | Copyright information © The Author(s) 2018. Open Access 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: | Holomorphic curve, Shimura varieties, O-minimality, Pila–Wilkie, Bloch–Ochiai |
| 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/1524975 |
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