Vol. 8, No. 9, 2014

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Relations between Dieudonné displays and crystalline Dieudonné theory

Eike Lau

Vol. 8 (2014), No. 9, 2201–2262
Abstract

We discuss the relation between crystalline Dieudonné theory and Dieudonné displays of p-divisible groups. The theory of Dieudonné displays is extended to the prime 2 without restriction, which implies that the classification of finite locally free group schemes by Breuil–Kisin modules holds for the prime 2 as well.

Keywords
$p$-divisible group, Dieudonné display, Dieudonné crystal
Mathematical Subject Classification 2010
Primary: 14L05
Secondary: 14F30
Milestones
Received: 7 March 2014
Revised: 22 September 2014
Accepted: 28 October 2014
Published: 28 December 2014
Authors
Eike Lau
Institut für Mathematik
Universität Paderborn
D-33098 Paderborn
Germany