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arXiv:0905.2383 [math.NT]AbstractReferencesReviewsResources

Canonical Subgroups over Hilbert Modular Varieties

Eyal Z. Goren, Payman L Kassaei

Published 2009-05-14Version 1

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.

Comments: 56 pages
Categories: math.NT, math.AG
Subjects: 11G10, 11G18, 11F85, 11F33
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