On the Mumford-Tate conjecture for 1-motives

Details On the Mumford-Tate conjecture for 1-motives On the Mumford-Tate conjecture for 1-motives

2011-07-26

arxiv.org/abs/1107.5259v1

Mathematics

Number Theory

Scientific paper

We show that the statement analogous to the Mumford-Tate conjecture for
abelian varieties holds for 1-motives on unipotent parts. This is done by
comparing the unipotent part of the associated Hodge group and the unipotent
part of the image of the absolute Galois group with the unipotent part of the
motivic fundamental group.

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