Multilinear morphisms between 1-motives
Number Theory
2010-04-05 v5 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0702661,
title = {Multilinear morphisms between 1-motives},
author = {Cristiana Bertolin},
journal= {arXiv preprint arXiv:math/0702661},
year = {2010}
}
Comments
new introduction!