Canonical subgroups over Hilbert modular varieties

Canonical subgroups over Hilbert modular varieties

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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Veröffentlicht in:Journal für die reine und angewandte Mathematik 2012-09, Vol.2012 (670), p.1-63
Hauptverfasser: Goren, Eyal Z., Kassaei, Payman L
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0075-4102
1435-5345
DOI:10.1515/CRELLE.2011.149