The global structure of moduli spaces of polarized p-divisible groups

Abstract

We study the global structure of moduli spaces of quasi-isogenies of polarized p-divisible groups introduced by Rapoport and Zink. Using the corresponding results for non-polarized p-divisible groups from a previous paper, we determine their dimensions and their sets of connected components and of irreducible components.

19 pages

References in corpus (1)

• A guide to the reduction modulo p of Shimura varieties

Cited by in corpus (7)

• Foliations in deformation spaces of local G-shtukas
• Affine Grassmannians and the geometric Satake in mixed characteristic
• Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)
• Affine Deligne-Lusztig varieties and the action of J
• Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4)
• Semi-modules and irreducible components of affine Deligne-Lusztig varieties
• Cell decomposition of some unitary group Rapoport-Zink spaces