Some motivic pairings

Details Some motivic pairings Some motivic pairings

2005-09-19

arxiv.org/abs/math/0509426v2

Mathematics

Algebraic Geometry

This paper has been withdrawn by the author because it is a section of the paper "Multilinear morphisms between 1-motives"

Scientific paper

In this note we prove the geometrical origin of pairings of abelian schemes. According to Deligne's philosophy of motives, this means that these pairings are motivic. We make also explicit the link between pairings and linear morphisms. We give a geometrical explanation of the main properties of the Weil pairings and of the Riemann forms of line bundles. We generalize our remarks to pairings of 1-motives.

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