On the Derived Category of 1-motives
Luca Barbieri-viale, Bruno Kahn
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.
Կատեգորիաներ:
Տարի:
2016
Հրատարակչություն:
Société Mathématique de France
Լեզու:
english
Էջեր:
254
ISBN 10:
2856298370
ISBN 13:
9782856298374
Սերիաներ:
Astérisque 381
Ֆայլ:
PDF, 2.24 MB
IPFS:
,
english, 2016