40 citations · 81 across the 6 of their papers we have counts for
4 papers · 1 filter
The derived functors of unramified cohomology
Bruno Kahn, R. Sujatha
We study the first "derived functors of unramified cohomology" in the sense of arXiv:1506.08385 [math.AG], applied to the sheaves and . We find intere…
Birational motives, II: Triangulated birational motives
Bruno Kahn, R. Sujatha
We develop birational versions of Voevodsky's triangulated categories of motives over a field, and relate them with the pure birational motives studied in arXiv:0902.4902 [math.AG]…
Birational motives, I: pure birational motives
Bruno Kahn, R. Sujatha
This is a considerably expanded version of the "pure" part of our 2002 preprint. We define a category of pure birational motives over a field, depending on the choice of an adequat…
A few localisation theorems
Bruno Kahn, R. Sujatha
Given a functor carrying a class of morphisms into a class , we give sufficient conditions in order that induces an equivalence on the loc…