4 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…
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…
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…
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-Cheval…