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Article Dans Une Revue Panorama et Synthèses Année : 2016

Notes on Artin-Tate motives

Résumé

We first study the weight structure on the triangulated category of Artin-Tate motives over a perfect base field k, building on results of Bondarko's. We then study the t-structure on the triangulated category of Artin-Tate motives, when k is algebraic over the rationals, generalizing a result of Levine's. We finally study the interaction of the weight structure and the t-structure. When k is a number field, this will give a useful criterion identifying the weight structure via realizations.

Dates et versions

hal-00346526 , version 1 (11-12-2008)

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Jörg Wildeshaus. Notes on Artin-Tate motives. Panorama et Synthèses, 2016, Autour des motifs, III, 49, pp.101-131. ⟨hal-00346526⟩
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