A note on 1-motives
Algebraic Geometry
2018-11-27 v2
Abstract
We prove that for -motives defined over an algebraically closed subfield of , 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 -motives is fully faithful.
Keywords
Cite
@article{arxiv.1807.09121,
title = {A note on 1-motives},
author = {Yves André},
journal= {arXiv preprint arXiv:1807.09121},
year = {2018}
}
Comments
slightly expanded version. To appear in Intern. Res. Math. Notices