Data di Pubblicazione:
2016
Citazione:
On the derived category of 1-motives / L. Barbieri Viale, B. Kahn. - In: ASTÉRISQUE. - ISSN 0303-1179. - 381(2016), pp. 1-254.
Abstract:
We embed the derived category of Deligne 1-motives over a perfect field into the étale version of Voevodsky's triangulated category of geometric motives, after inverting the exponential characteristic. We then show that this full embedding ``almost'' has a left adjoint LAlb. Applying LAlb to the motive of a variety we get a bounded complex of 1-motives, that we compute fully for smooth varieties and partly for singular varieties. Among applications, we give motivic proofs of Roĭtman type theorems and new cases of Deligne's conjectures on 1-motives.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
1-motives; triangulated motives; Roĭtman's theorem; Deligne's conjecture
Elenco autori:
L. Barbieri Viale, B. Kahn
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