Bruno Kahn

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2024

An $l$ -adic norm residue epimorphism theorem

Bruno Kahn

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

math.AG2024

A specialisation theorem for Lang-Néron groups

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…

math.AG2023

Homotopy theory of schemes and $R$ -equivalence

Denis-Charles Cisinski, Bruno Kahn

We prove that, for any smooth and projective scheme $X$ over a field $k$ of char. $0$ , the set of maps from Spec $k$ to $X$ in the $A^{1}$ -homotopy category of schemes $\mat…

An l-adic norm residue epimorphism theorem

A specialisation theorem for Lang-Néron groups

Homotopy theory of schemes and R-equivalence

An $l$ -adic norm residue epimorphism theorem

Homotopy theory of schemes and $R$ -equivalence