Multilinear morphisms between 1-motives

Details Multilinear morphisms between 1-motives Multilinear morphisms between 1-motives

2007-02-22

arxiv.org/abs/math/0702661v5

J. Reine Angew. Math. 637 (2009), pp. 141--174.

Mathematics

Number Theory

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Scientific paper

Let S be an arbitrary scheme. We define biextensions of 1-motives by 1-motives which we see as the geometrical origin of morphisms from the tensor product of two 1-motives to a third one. If S is the spectrum of a field of characteristic 0, we check that these biextensions define morphisms from the tensor product of the realizations of two 1-motives to the realization of a third 1-motive. Generalizing we obtain the geometrical notion of morphisms from a finite tensor product of 1-motives to another 1-motive.

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