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arxiv: 1610.04341 · v2 · pith:TOO7VU3Dnew · submitted 2016-10-14 · 🧮 math.AG · math.KT· math.NT

Ogus realization of 1-motives

classification 🧮 math.AG math.KTmath.NT
keywords motivesogusrealizationfunctoralgebraicitybostconsideringenriched
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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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