Bruno Kahn

collaborators

3 papers

math.AG2025

An $l$ -adic norm residue epimorphism theorem

Bruno Kahn

We show that the continuous Ã©tale cohomology groups $H_{cont}^{n} (X, Z_{l} (n))$ of smooth varieties $X$ over a finite field $k$ are spanned as $Z_{l}$ -modules…

math.NT2024

Zeta and L functions of Voevodsky motives

Bruno Kahn

We associate an $L$ -function $L^{near} (M, s)$ to any geometric motive over a global field $K$ in the sense of Voevodsky. This is a Dirichlet series which converges in some…

math.AG2024

Bruno Kahn, Long Liu

We show that, for a polarised smooth projective variety $B ↪ P_{k}^{n}$ of dimension $\geq 2$ over an infinite field $k$ and an abelian variety $A$ over the func…

An l-adic norm residue epimorphism theorem

Zeta and L functions of Voevodsky motives

A specialisation theorem for Lang-NÃ©ron groups

An $l$ -adic norm residue epimorphism theorem