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.
Original language | English |
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Pages (from-to) | 341-374 |
Number of pages | 34 |
Journal | Journal of Algebraic Geometry |
Volume | 17 |
Issue number | 2 |
DOIs | |
State | Published - 2008 |
Externally published | Yes |