no. 1
Nombre de classes des tores de multiplication complexe et bornes inférieures pour les orbites galoisiennes de points spéciaux
Bulletin de la Société Mathématique de France, Tome 143 (2015) no. 1, pp. 197-228

Dans cet article nous donnons des bornes inférieures pour les nombres de classe de tores algébriques à multiplication complexe. Nous en déduisons des bornes inférieures pour la taille des orbites galoisiennes de points spéciaux (inconditionellement et sous l'hypothèse de Riemann généralisée).

In this paper we give lower bounds for class numbers of CM algebraic tori. We deduce lower bounds for the size of the Galois orbits of special points in Shimura varieties (unconditionally and under the Generalised Riemann Hypothesis).

Publié le :
DOI : 10.24033/bsmf.2683
Classification : 11G18 
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     author = {Ullmo, Emmanuel and Yafaev, Andrei},
     title = {Nombre de classes des tores de multiplication complexe et bornes inf\'erieures pour les orbites galoisiennes de points sp\'eciaux},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {197--228},
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Ullmo, Emmanuel; Yafaev, Andrei. Nombre de classes des tores de multiplication complexe et bornes inférieures pour les orbites galoisiennes de points spéciaux. Bulletin de la Société Mathématique de France, Tome 143 (2015) no. 1, pp. 197-228. doi: 10.24033/bsmf.2683

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