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On Deformations of 1-motives

Part of: Algebraic groups Cycles and subschemes

Published online by Cambridge University Press:  04 January 2019

A. Bertapelle  and
N. Mazzari
A. Bertapelle
Affiliation:
Dipartimento di Matematica “Tullio Levi-Civita”, Università degli Studi di Padova, via Trieste, 63, I-35121 Padova, Italy Email: alessandra.bertapelle@unipd.it
N. Mazzari
Affiliation:
Institut de Mathématiques de Bordeaux, University of Bordeaux, F-33405 Talence cedex, France Email: nicola.mazzari@math.u-bordeaux.fr
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Abstract

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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-motiveBarsotti-Tate group

MSC classification

Primary: 14L15: Group schemes
Secondary: 14C15: (Equivariant) Chow groups and rings; motives 14L05: Formal groups, $p$-divisible groups
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 1 , March 2019 , pp. 11 - 22
Copyright
© Canadian Mathematical Society 2018 

References

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