Ogus realization of 1-motives

Published 14 Oct 2016 in math.AG, math.KT, and math.NT | (1610.04341v2)

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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