Number Theory/Algebraic Geometry
Canonical subgroups over Hilbert modular varieties
[Sous-groupes canoniques sur les variétés modulaires de Hilbert]

Présenté par : Jean-Pierre Serre

Goren, Eyal Z.1 ; Kassaei, Payman L.2
1 Department of Mathematics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec, Canada H3A 2K6
2 Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom
Comptes Rendus. Mathématique, Tome 347 (2009) no. 17-18, pp. 985-990.

Nous obtenons des résultats nouveaux sur la géométrie des variétés modulaires de Hilbert en caractéristique positive et sur les morphismes entre celles-ci. Grâce à ces résultats et des méthodes de géométrie rigide, nous développons une théorie des sous-groupes canoniques pour les variétés abéliennes à multiplication réelle.

We obtain new results on the geometry of Hilbert modular varieties in positive characteristic and morphisms between them. Using these results and methods of rigid geometry, we develop a theory of canonical subgroups for abelian varieties with real multiplication.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.07.008
Goren, Eyal Z. 1 ; Kassaei, Payman L. 2

1 Department of Mathematics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec, Canada H3A 2K6
2 Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom 
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Goren, Eyal Z.; Kassaei, Payman L. Canonical subgroups over Hilbert modular varieties. Comptes Rendus. Mathématique, Tome 347 (2009) no. 17-18, pp. 985-990. doi : 10.1016/j.crma.2009.07.008. http://www.numdam.org/articles/10.1016/j.crma.2009.07.008/

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