Geodesic
Smoothness of the truncated display functor
Lau, Eike 1
1 Institut für Mathematik, Universität Paderborn, D-33098 Paderborn, Germany
Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 129-165 Cet article a éte moissonné depuis la source American Mathematical Society

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We show that to every $p$-divisible group over a $p$-adic ring one can associate a display by crystalline Dieudonné theory. For an appropriate notion of truncated displays, this induces a functor from truncated Barsotti-Tate groups to truncated displays, which is a smooth morphism of smooth algebraic stacks. As an application we obtain a new proof of the equivalence between infinitesimal $p$-divisible groups and nilpotent displays over $p$-adic rings, and a new proof of the equivalence due to Berthelot and Gabber between commutative finite flat group schemes of $p$-power order and Dieudonné modules over perfect rings.
DOI : 10.1090/S0894-0347-2012-00744-9

Lau, Eike  1

1 Institut für Mathematik, Universität Paderborn, D-33098 Paderborn, Germany 
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Lau, Eike. Smoothness of the truncated display functor. Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 129-165. doi: 10.1090/S0894-0347-2012-00744-9

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