34 citations · 236 across the 42 of their papers we have counts for
35 papers · 1 filter
On the injectivity and non-injectivity of the -adic cycle class maps
Bruno Kahn
We study the injectivity of the cycle class map with values in Jannsen's continuous étale cohomology, by using refinements that go through étale motivic cohomology and the ``tame''…
Modulus triples
Bruno Kahn, Hiroyasu Miyazaki
We develop a theory of modulus triples, for future motivic applications.
Motives with modulus, III: The categories of motives
Bruno Kahn, Hiroyasu Miyazaki, Shuji Saito +1
We construct and study a triangulated category of motives with modulus over a field that extends Voevodsky's category $\mathbf{DM}_{…
Refined height pairing
Bruno Kahn, with an appendix by Qing Liu
For a -dimensional smooth projective variety over the function field of a smooth variety over a field and for , we define a subgroup of $CH^i…
On the universal regular homomorphism in codimension
Bruno Kahn
We point out a gap in Murre's proof of the existence of a universal regular homomorphism for codimension cycles on a smooth projective variety, and offer two arguments to fill…
Topologies on schemes and modulus pairs
Bruno Kahn, Hiroyasu Miyazaki
We study relationships between the Nisnevich topology on smooth schemes and certain Grothendieck topologies on proper and not necessarily proper modulus pairs which were introduced…