5 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
Universal Weil cohomology
L. Barbieri-Viale, B. Kahn
We construct a new Weil cohomology for smooth projective varieties over a field, universal among Weil cohomologies with values in rigid additive tensor categories. A similar univer…
Galois descent for motivic theories
Bruno Kahn
We give necessary conditions for a category fibred in pseudo-abelian additive categories over the classifying topos of a profinite group to be a stack; these conditions are suffici…
A universal rigid abelian tensor category
L. Barbieri-Viale, B. Kahn
We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This yields a novel approach to Grothe…
On the derived category of 1-motives
Luca Barbieri-Viale, Bruno Kahn
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) De…