After introducing the Ogus realization of 1-motives we prove that it is a fully faithful functor. More precisely, following a framework introduced by Ogus, considering an enriched structure on the de Rham realization of 1-motives over a number field, we show that it yields a full functor by making use of an algebraicity theorem of Bost.
Ogus realization of 1-motives / F. Andreatta, L. Barbieri-Viale, A. Bertapelle. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 487:(2017), pp. 294-316. [10.1016/j.jalgebra.2017.05.033]
Ogus realization of 1-motives
F. AndreattaPrimo
;L. Barbieri-VialeSecondo
;
2017
Abstract
After introducing the Ogus realization of 1-motives we prove that it is a fully faithful functor. More precisely, following a framework introduced by Ogus, considering an enriched structure on the de Rham realization of 1-motives over a number field, we show that it yields a full functor by making use of an algebraicity theorem of Bost.
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