74 citations · 89 across the 9 of their papers we have counts for
9 papers
Sur la conjecture de Tate pour les diviseurs
Bruno Kahn
We prove that the Tate conjecture in codimension over a finitely generated field follows from the same conjecture for surfaces over its prime subfield. In positive characterist…
Fonctions zêta et de variétés et de motifs
Bruno Kahn
Rédaction d'un cours de M2 donné à Jussieu au printemps 2013. This is the write-up of a Masters course given at Jussieu in Spring 2013.
Recoller pour séparer
Daniel Ferrand, Bruno Kahn
We introduce the notion of a separator for a morphism of schemes f:T\to S; in particular, it is universal among morphisms from T to separated S-schemes. A separator is a local isom…
Motifs et adjoints
Bruno Kahn
We show in many cases the existence of adjoints to extension of scalars on categories of motivic nature, in the framework of field extensions. This is to be contrasted with the mor…
Quelques calculs de sommes de Gauss
Bruno Kahn
We observe that the Galois action on local constants associated to Galois representations of a local field yields information on their arithmetic nature, for example provides an up…
Cycles de codimension 2 et H^3 non ramifié pour les variétés sur les corps finis
Jean-Louis Colliot-Thélène, Bruno Kahn
Let be a smooth projective variety over a finite field $\F$. We discuss the unramified cohomology group $H^3_\nr(X,\Q/\Z(2))$. Several conjectures put together imply that this…
Démonstration géométrique du théorème de Lang-Néron
Bruno Kahn
We give a proof without heights of the Lang-Néron theorem: if is a regular extension of finite type and is an abelian -variety, the group $A(K)/\Tr_{K/k} A(k)$ is fini…
Equivalence rationnelle, equivalence numerique et produits de courbes elliptiques sur un corps fini
Bruno Kahn
This is an update of the first version. We clarify that the main results apply to more general smooth projective varieties X than products of elliptic curves (briefly: X is of "abe…
Nilpotence, radicaux et structures mono\"ıdales
Yves André, Bruno Kahn, Peter O'Sullivan
For a field, a Wedderburn -linear category is a -linear category $\sA$ whose radical $\sR$ is locally nilpotent and such that $\bar \sA:=\sA/\sR$ is semi-simple and remai…