On the derived category of 1-motives

Luca Barbieri-Viale; Bruno Kahn

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arXiv · 1009.1900

On the derived category of 1-motives

Luca Barbieri-Viale·Bruno Kahn

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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.

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Luca Barbieri-Viale, Bruno Kahn. 2010-09-09. On the derived category of 1-motives. https://arxiv.org/abs/1009.1900

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