Le radical unipotent du groupe de Galois motivique d'un 1-motif

Details Le radical unipotent du groupe de Galois motivique d'un 1-motif Le radical unipotent du groupe de Galois motivique d'un 1-motif

2003-05-02

arxiv.org/abs/math/0305046v1

Math. Annalen 327 (2003), no. 3, pp. 585--607.

Mathematics

Number Theory

24 pages

Scientific paper

Let M be a 1-motive defined over a field of characteristic 0. To M we can associate its motivic Galois group, G_mot(M), which is the geometrical interpretation of the Munford-Tate group of M. We prove that the unipotent radical of the Lie algebra of G_mot(M) is the semi-abelian variety defined by the adjoint action of the semi-simplified of the Lie algebra of G_mot(M) on itself.

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