Le radical unipotent du groupe de Galois motivique d'un 1-motif
Cristiana Bertolin
Abstract
Let M be a 1-motive defined over a field of characteristic 0. To M we can associate its motivic Galois group, Gmot(M), which is the geometrical interpretation of the Munford-Tate group of M. We prove that the unipotent radical of the Lie algebra of Gmot(M) is the semi-abelian variety defined by the adjoint action of the semi-simplified of the Lie algebra of Gmot(M) on itself.
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