[Sous-groupes canoniques sur les variétés modulaires de Hilbert]
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.
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@article{CRMATH_2009__347_17-18_985_0,
author = {Goren, Eyal Z. and Kassaei, Payman L.},
title = {Canonical subgroups over {Hilbert} modular varieties},
journal = {Comptes Rendus. Math\'ematique},
pages = {985--990},
publisher = {Elsevier},
volume = {347},
number = {17-18},
year = {2009},
doi = {10.1016/j.crma.2009.07.008},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2009.07.008/}
}
TY - JOUR AU - Goren, Eyal Z. AU - Kassaei, Payman L. TI - Canonical subgroups over Hilbert modular varieties JO - Comptes Rendus. Mathématique PY - 2009 SP - 985 EP - 990 VL - 347 IS - 17-18 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2009.07.008/ DO - 10.1016/j.crma.2009.07.008 LA - en ID - CRMATH_2009__347_17-18_985_0 ER -
%0 Journal Article %A Goren, Eyal Z. %A Kassaei, Payman L. %T Canonical subgroups over Hilbert modular varieties %J Comptes Rendus. Mathématique %D 2009 %P 985-990 %V 347 %N 17-18 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2009.07.008/ %R 10.1016/j.crma.2009.07.008 %G en %F CRMATH_2009__347_17-18_985_0
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://archive.numdam.org/articles/10.1016/j.crma.2009.07.008/
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