Canonical Subgroups over Hilbert Modular Varieties

Details Canonical Subgroups over Hilbert Modular Varieties Canonical Subgroups over Hilbert Modular Varieties

2009-05-14

arxiv.org/abs/0905.2383v1

Mathematics

Number Theory

56 pages

Scientific paper

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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