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Holomorphic curves in compact Shimura varieties

Ullmo, E; Yafaev, A; (2018) Holomorphic curves in compact Shimura varieties. Annales de l'Institut Fourier , 68 (2) pp. 647-659. 10.5802/aif.3174. Green open access

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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. / On démontre un analogue hyperbolique du théorème de Bloch–Ochiai sur l’adhérence de Zariski d’une courbe holomorphe dans une variété abélienne.

Type: Article
Title: Holomorphic curves in compact Shimura varieties
Open access status: An open access version is available from UCL Discovery
DOI: 10.5802/aif.3174
Publisher version: https://doi.org/10.5802/aif.3174
Language: English
Additional information: Cet article est mis à disposition selon les termes de la licence CREATIVE COMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 FRANCE (http://creativecommons.org/licenses/by-nd/3.0/fr/).
Keywords: Shimura variety, holomorphic curve, o-minimality
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/10075935
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