On deformations of $1$-motives

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.

Minor changes

References in corpus (1)

• Crystalline realizations of 1-motives

Cited by in corpus (1)

• Log p-divisible groups associated to log 1-motives