Voevodsky's motives and Weil reciprocity
Algebraic Geometry
2019-12-19 v2
Abstract
We describe Somekawa's K-group associated to a finite collection of semi-abelian varieties (or more general sheaves) in terms of the tensor product in Voevodsky's category of motives. While Somekawa's definition is based on Weil reciprocity, Voevodsky's category is based on homotopy invariance. We apply this to explicit descriptions of certain algebraic cycles.
Keywords
Cite
@article{arxiv.1108.2764,
title = {Voevodsky's motives and Weil reciprocity},
author = {Bruno Kahn and Takao Yamazaki},
journal= {arXiv preprint arXiv:1108.2764},
year = {2019}
}
Comments
Revised version; the title and introduction were changed. arXiv admin note: substantial text overlap with arXiv:1009.4554