no. 2
Holomorphic curves in compact Shimura varieties
[Courbes holomorphiques dans les variétés compactes de Shimura]
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, Tome 68 (2018) no. 2, pp. 647-659.

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

We prove a hyperbolic analogue of the Bloch–Ochiai theorem about the Zariski closure of holomorphic curves in abelian varieties.

Reçu le :
Révisé le :
Accepté le :
Publié le :
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, Tome 68 (2018) no. 2, pp. 647-659. doi : 10.5802/aif.3174. http://archive.numdam.org/articles/10.5802/aif.3174/

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