Somekawa's K-groups and Voevodsky's Hom groups, by Bruno Kahn and Takao Yamazaki

We construct an isomorphism from Somekawa's K-group associated to a finite collection of semi-abelian varieties (or more general sheaves) over a perfect field to a corresponding Hom group in Voevodsky's triangulated category of effective motivic complexes.


Bruno Kahn <kahn@math.jussieu.fr>
Takao Yamazaki <ytakao@math.tohoku.ac.jp>