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Moduli spaces of $ p$-divisible groups

Author(s): Eva Viehmann
Journal: J. Algebraic Geom. 17 (2008), 341-374.
Posted: December 5, 2007
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Abstract | References | Additional information

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.

References:

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Additional Information:

Eva Viehmann
Affiliation: Mathematisches Institut der Universität Bonn, Beringstrasse 1, 53115 Bonn, Germany
Email: viehmann@math.uni-bonn.de

PII: S 1056-3911(07)00480-8
Received by editor(s): March 31, 2006
Received by editor(s) in revised form: February 8, 2007
Posted: December 5, 2007

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