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.

Ogus realization of 1-motives

F. Andreatta
Primo
;
L. Barbieri-Viale
Secondo
;
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.
Motives; Ogus conjecture; de Rham cohomology
Settore MAT/02 - Algebra
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/506245
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