Deligne's duality for de Rham realizations of 1-motives

Details Deligne's duality for de Rham realizations of 1-motives Deligne's duality for de Rham realizations of 1-motives

2005-06-17

arxiv.org/abs/math/0506344v3

Mathematics

Algebraic Geometry

21 pages. Last section rewritten. New proofs

Scientific paper

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 $\natural$-extensions.

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