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.
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.
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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://www.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://www.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://www.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, Volume 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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