Voevodsky's motives and weil reciprocity

Bruno Kahn; Takao Yamazaki

doi:10.1215/00127094-2381379

Voevodsky's motives and weil reciprocity

Bruno Kahn, Takao Yamazaki

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	2751-2796
Number of pages	46
Journal	Duke Mathematical Journal
Volume	162
Issue number	14
DOIs	https://doi.org/10.1215/00127094-2381379
Publication status	Published - 2013 Nov 1

ASJC Scopus subject areas

Mathematics(all)

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Voevodsky's motives and weil reciprocity

Abstract

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