no. 2
Holomorphic curves in compact Shimura varieties
Ullmo, Emmanuel1; Yafaev, Andrei2
1 IHES and Universite Paris-Saclay 35 Route de Chartres, 91440 Bures-sur-Yvette (France)
2 UCL, Department of Mathematics, Gower street, WC1E 6BT, London (UK)
Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 647-659.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.3174
Classification: 14G35, 32A10, 03C64
Keywords: Shimura variety, holomorphic curve, o-minimality
Mot clés : variété de Shimura, courbes holomorphiques, o-minimalité
Ullmo, Emmanuel 1; Yafaev, Andrei 2

1 IHES and Universite Paris-Saclay 35 Route de Chartres, 91440 Bures-sur-Yvette (France)
2 UCL, Department of Mathematics, Gower street, WC1E 6BT, London (UK) 
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Ullmo, Emmanuel; Yafaev, Andrei. Holomorphic curves in compact Shimura varieties. Annales de l'Institut Fourier, Volume 68 (2018) no. 2, pp. 647-659. doi : 10.5802/aif.3174. http://www.numdam.org/articles/10.5802/aif.3174/

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