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

Alessandra Bertapelle
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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 $\natural$-extensions.

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Alessandra Bertapelle. 2008-07-18. Deligne's duality for de Rham realizations of 1-motives. https://arxiv.org/abs/math/0506344

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