Voevodsky's motives and weil reciprocity

Bruno Kahn, Takao Yamazaki

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We describe Somekawa's K-group associated to a finite collection of semiabelian 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.

Original languageEnglish
Pages (from-to)2751-2796
Number of pages46
JournalDuke Mathematical Journal
Issue number14
Publication statusPublished - 2013 Nov 1

ASJC Scopus subject areas

  • Mathematics(all)


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