Canonical subgroups over Hilbert modular varieties |
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Authors: | Eyal Z Goren Payman L Kassaei |
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Institution: | 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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Abstract: | 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. To cite this article: E.Z. Goren, P.L Kassaei, C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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