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.
Revised:
Accepted:
Published online:
Classification: 14G35, 32A10, 03C64
Keywords: Shimura variety, holomorphic curve, o-minimality
@article{AIF_2018__68_2_647_0, author = {Ullmo, Emmanuel and Yafaev, Andrei}, title = {Holomorphic curves in compact {Shimura} varieties}, journal = {Annales de l'Institut Fourier}, pages = {647--659}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {2}, year = {2018}, doi = {10.5802/aif.3174}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3174/} }
TY - JOUR TI - Holomorphic curves in compact Shimura varieties JO - Annales de l'Institut Fourier PY - 2018 DA - 2018/// SP - 647 EP - 659 VL - 68 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3174/ UR - https://doi.org/10.5802/aif.3174 DO - 10.5802/aif.3174 LA - en ID - AIF_2018__68_2_647_0 ER -
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. https://aif.centre-mersenne.org/articles/10.5802/aif.3174/
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