Canonical Subgroups over Hilbert Modular Varieties
Number Theory
2009-05-15 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.0905.2383,
title = {Canonical Subgroups over Hilbert Modular Varieties},
author = {Eyal Z. Goren and Payman L Kassaei},
journal= {arXiv preprint arXiv:0905.2383},
year = {2009}
}
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56 pages