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Published in 2019 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rny295
Abstract: We prove that for $1$-motives defined over an algebraically closed subfield of $\mathbf{C}$, viewed as Nori motives, the motivic Galois group coincides with the Mumford–Tate group. In particular, the Hodge realization of the Tannakian category…
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Keywords:
hodge;
note motives;