Eva Viehmann
Published 2005-02-15, updated 2007-04-27Version 3
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.
Comments: 25 pages, minor corrections, author's last name changed from Mierendorff to Viehmann, to appear in Journal of Algebraic Geometry
The global structure of moduli spaces of polarized p-divisible groups
The moduli space of surfaces with $K^2=6, p_g=4$
On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type
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