34 citations · 236 across the 42 of their papers we have counts for
43 papers
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.
The fullness conjectures for products of elliptic curves
Bruno Kahn, with an appendix by Cyril Demarche
We prove all conjectures from chapter 7 of Yves André's book on motives in the case of products of elliptic curves. The proofs given here are simpler and more uniform than the prev…
Universal rigid abelian tensor categories and Schur finiteness
Bruno Kahn
We study the construction of arXiv:2111.11217 [math:AG] in more detail, especially in the case of Schur-finite rigid -categories. This leads to some groundwork on the idea…
Exactness and faithfulness of monoidal functors
Bruno Kahn
Inspired by recent work of Peter O'Sullivan (arXiv:2012.15703), we give a condition under which a faithful monoidal functor between abelian -categories is exact.
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}_{…