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math.NT2025
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…
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…