On deformations of 1-motives
classification
🧮 math.NT
math.AG
keywords
deformationinfinitesimalmotivestheoryabelianaccordingbarsotti-tatecharacteristic
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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.
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