Moduli spaces of p-divisible groups

Details Moduli spaces of p-divisible groups Moduli spaces of p-divisible groups

2005-02-15

arxiv.org/abs/math/0502320v3

Mathematics

Algebraic Geometry

25 pages, minor corrections, author's last name changed from Mierendorff to Viehmann, to appear in Journal of Algebraic Geomet

Scientific paper

We study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components and of irreducible components. If the isocrystals of the p-divisible groups are simple, we compute the cohomology of the moduli space. As an application we determine which moduli spaces are smooth.

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