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A note on 1-motives

Published 24 Jul 2018 in math.AG | (1807.09121v2)

Abstract: We prove that for $1$-motives defined over an algebraically closed subfield of $\C$, viewed as Nori motives, the motivic Galois group is the Mumford-Tate group. In particular, the Hodge realization of the tannakian category of (Nori) motives generated by $1$-motives is fully faithful.

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