Deligne's conjecture on extensions of 1-motives
Algebraic Geometry
2010-04-13 v3 K-Theory and Homology
Abstract
We introduce the notion of extension of 1-motives. Using the dictionary between strictly commutative Picard stacks and complexes of abelian sheaves concentrated in degrees -1 and 0, we check that an extension of 1-motives induces an extension of the corresponding strictly commutative Picard stacks. We compute the Hodge, the de Rham and the l-adic realizations of an extention of 1-motives. Using these results we can prove Deligne's conjecture on extensions of 1-motives.
Keywords
Cite
@article{arxiv.0906.2179,
title = {Deligne's conjecture on extensions of 1-motives},
author = {Cristiana Bertolin},
journal= {arXiv preprint arXiv:0906.2179},
year = {2010}
}
Comments
new title