Biextensions of 1-motives by 1-motives
Number Theory
2010-04-05 v1 Algebraic Geometry
Abstract
Let S be a scheme. In this paper, we define the notion of biextensions of 1-motives by 1-motives. If M(S) denotes the Tannakian category generated by 1-motives over S (in a geometrical sense), we define geometrically the morphisms of M(S) from the tensor product of two 1-motives M_1 and M_2 to another 1-motive M_3, to be the isomorphism classes of biextensions of (M_1,M_2) by M_3. Generalizing this definition we obtain, modulo isogeny, the geometrical notion of morphism of M(S) from a finite tensor product of 1-motives to another 1-motive.
Cite
@article{arxiv.math/0402080,
title = {Biextensions of 1-motives by 1-motives},
author = {Cristiana Bertolin},
journal= {arXiv preprint arXiv:math/0402080},
year = {2010}
}
Comments
15 pages