Ogus realization of 1-motives

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.

References in corpus (2)

• Crystalline realizations of 1-motives
• Sharp de Rham realization

Cited by in corpus (5)

• Motivic periods and Grothendieck arithmetic invariants
• Divisibility properties of motivic cohomology
• The filtered Ogus realisation of motives
• The Fontaine-Ogus realisation of Laumon 1-motives
• Extensions of filtered Ogus structures