Displays and formal p-divisible groups

Over p -adic Nagata rings, formal p -divisible groups are classified by nilpotent displays according to T. Zink. We extend this result to arbitrary p -adic rings. The proof uses the Grothendieck–Illusie deformation theory of truncated p -divisible groups.

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Bibliographic Details
Published in:Inventiones mathematicae 2008-03, Vol.171 (3), p.617-628
Main Author: Lau, Eike
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:Over p -adic Nagata rings, formal p -divisible groups are classified by nilpotent displays according to T. Zink. We extend this result to arbitrary p -adic rings. The proof uses the Grothendieck–Illusie deformation theory of truncated p -divisible groups.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-007-0090-x