Deligne's duality for de Rham realizations of 1-motives
Algebraic Geometry
2008-07-18 v3
Abstract
We show that the pairing on de Rham realizations of 1-motives in "Theorie di Hodge III", IHES 44, can be defined over any base scheme and we prove that it gives rise to a perfect duality if one is working with a 1-motive and its Cartier dual. Furthermore we study universal extensions of 1-motives and their relation with -extensions.
Keywords
Cite
@article{arxiv.math/0506344,
title = {Deligne's duality for de Rham realizations of 1-motives},
author = {Alessandra Bertapelle},
journal= {arXiv preprint arXiv:math/0506344},
year = {2008}
}
Comments
21 pages. Last section rewritten. New proofs