Let M be a 1-motive over a base scheme S and M' its Cartier dual. We show the existence of a canonical duality between the de Rham realizations of M and M'; this generalizes a result in Hodge III. Furthermore, we study universal extensions of 1-motives and their relation with "natural"-extensions.
Deligne's duality for de Rham realizations of 1-motives
BERTAPELLE, ALESSANDRA
2009
Abstract
Let M be a 1-motive over a base scheme S and M' its Cartier dual. We show the existence of a canonical duality between the de Rham realizations of M and M'; this generalizes a result in Hodge III. Furthermore, we study universal extensions of 1-motives and their relation with "natural"-extensions.
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