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On deformations of $1$-motives

  • A. Bertapelle,
    Dipartimento di Matematica "Tullio Levi-Civita", Università degli Studi di Padova , via Trieste, 63 , I-35121 Padova, Italy
  • N. Mazzari,
    Institut de Mathématiques de Bordeaux, University of Bordeaux, F-33405 Talence cedex, France
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Abstract

According to a well-known theorem of Serre and Tate, the infinitesimal deformation theory of an abelian variety in positive characteristic is equivalent to the infinitesimal deformation theory of its Barsotti-Tate group. We extend this result to $1$-motives.
Keywords: $1$-motive, Barsotti-Tate group $1$-motive, Barsotti-Tate group
MSC Classifications: 14L15, 14C15, 14L05 show english descriptions Group schemes
(Equivariant) Chow groups and rings; motives
Formal groups, $p$-divisible groups [See also 55N22]
14L15 - Group schemes
14C15 - (Equivariant) Chow groups and rings; motives
14L05 - Formal groups, $p$-divisible groups [See also 55N22]
 

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