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math.AG2026
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…
math.AG2025
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…
math.AG2024
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…