On the derived category of 1-motives
Algebraic Geometry
2016-09-14 v2
Abstract
This is the final version of the 2007 preprint titled "On the derived category of 1-motives, I". It has been substantially expanded to contain a motivic proof of (two thirds of) Deligne's conjecture on 1-motives with rational coefficients, hence the new title. Compared to the 2007 preprint, the additions mainly concern an abstract theory of realisations with weight filtrations; Deligne's conjecture is tackled though them by an adjunction game.
Cite
@article{arxiv.1009.1900,
title = {On the derived category of 1-motives},
author = {Luca Barbieri-Viale and Bruno Kahn},
journal= {arXiv preprint arXiv:1009.1900},
year = {2016}
}
Comments
242 pages - revised before acceptation