English

Somekawa's K-groups and Voevodsky's Hom groups (preliminary version)

Algebraic Geometry 2010-09-24 v1 K-Theory and Homology

Abstract

We construct a surjective homomorphism from Somekawa's K-group associated to a finite collection of semi-abelian varieties over a perfect field to a corresponding Hom group in Voevodsky's triangulated category of effective motivic complexes.

Keywords

Cite

@article{arxiv.1009.4554,
  title  = {Somekawa's K-groups and Voevodsky's Hom groups (preliminary version)},
  author = {Bruno Kahn},
  journal= {arXiv preprint arXiv:1009.4554},
  year   = {2010}
}

Comments

15 pages

R2 v1 2026-06-21T16:18:00.413Z