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Moduli spaces of p-divisible groups

Eva Viehmann
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Abstract

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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Eva Viehmann. 2007-04-27. Moduli spaces of p-divisible groups. https://arxiv.org/abs/math/0502320

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