[À propos de la conjoncture d'André–Oort mixte : réduction à la borne inférieure pour le cas pur]
Nous démontrons la conjecture d'André–Oort pour toutes les variétés de Shimura mixtes, sous une borne inférieure pour la taille de orbites galoisiennes des points spéciaux. Ceci généralise les résultats connus pour les variétés de Shimura mixtes de type abélien.
We prove that the mixed André–Oort conjecture holds for any mixed Shimura variety if a lower bound for the size of Galois orbits of special points in pure Shimura varieties exists. This generalizes the current results for mixed Shimura varieties of Abelian type.
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@article{CRMATH_2016__354_7_659_0,
author = {Ziyang Gao},
title = {About the mixed {Andr\'e{\textendash}Oort} conjecture: {Reduction} to a lower bound for the pure case},
journal = {Comptes Rendus. Math\'ematique},
pages = {659--663},
publisher = {Elsevier},
volume = {354},
number = {7},
year = {2016},
doi = {10.1016/j.crma.2016.01.024},
language = {en},
}
Ziyang Gao. About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case. Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 659-663. doi : 10.1016/j.crma.2016.01.024. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.01.024/
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