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On The Derived Category Of 1motives Luca Barbieriviale Bruno Kahn

SKU: BELL-5856300

$ 31.00 ~~$ 45.00~~ (-31%)

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On The Derived Category Of 1motives Luca Barbieriviale Bruno Kahn instant download after payment.

Publisher: Société Mathématique de France

File Extension: PDF

File size: 2.24 MB

Pages: 254

Author: Luca Barbieri-viale, Bruno Kahn

ISBN: 9782856298374, 2856298370

Language: English

Year: 2016

Product desciption

On The Derived Category Of 1motives Luca Barbieriviale Bruno Kahn by Luca Barbieri-viale, Bruno Kahn 9782856298374, 2856298370 instant download after payment.

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.