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Quasi-isogenies and Morava stabilizer groups

URN to cite this document:
urn:nbn:de:bvb:355-epub-5834
Naumann, Niko
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Date of publication of this fulltext: 05 Aug 2009 13:23


Abstract

For every prime p and integer n ≥ 3 we explicitly construct an abelian variety A/Fpn of dimension n such that for a suitable prime l the group of quasi-isogenies of A/Fpn of l-power degree is canonically a dense subgroup of the n-th Morava stabilizer group at p. We also give a variant of this result taking into account a polarization. This is motivated by the recent construction of topological ...

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