2 citations · 2 across the 8 of their papers we have counts for
8 papers
Divided powers on abelian varieties
Bruno Kahn
We prove the existence of divided powers in étale Chow groups of abelian varieties over a separably closed field, and hence of an integral lift of the Fourier transform, away from…
An approach to the Tate conjecture for surfaces over a finite field
Bruno Kahn
We give a reformuation of the Tate conjecture for a surface over a finite field in terms of suitable affine open subsets. We then present three attempts to prove this reformulation…
Birational motives and the norm residue isomorphism theorem
Bruno Kahn
We point out a relationship between the norm residue isomorphism theorem of Suslin-Voevodsky-Rost and the theory of birational motives, as well as its generalisation to "higher jet…
A universal coefficient theorem for sheaf cohomology
Bruno Kahn
We give a sheaf-theoretic version of the universal coefficient theorem.
On the Bénabou-Roubaud theorem
Bruno Kahn
We give a detailed proof of the Bénabou-Roubaud theorem. As a byproduct it yields a weakening of its hypotheses: the base category does not need fibre products and the Beck-Chevall…
Some remarks on the smash-nilpotence conjecture
Bruno Kahn
We discuss cases where Voevodsky's smash nilpotence conjecture is known, and give a few new ones. In particular we explain a theorem of the cube for -cycles, which is due to Ous…