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arXiv · 1704.01340

On deformations of $1$-motives

Alessandra Bertapelle·Nicola Mazzari
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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.

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Alessandra Bertapelle, Nicola Mazzari. 2017-07-20. On deformations of $1$-motives. https://doi.org/10.4153/cmb-2017-076-2

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