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November 2013 Voevodsky’s motives and Weil reciprocity
Bruno Kahn, Takao Yamazaki
Duke Math. J. 162(14): 2751-2796 (November 2013). DOI: 10.1215/00127094-2381379

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.

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Bruno Kahn. Takao Yamazaki. "Voevodsky’s motives and Weil reciprocity." Duke Math. J. 162 (14) 2751 - 2796, November 2013. https://doi.org/10.1215/00127094-2381379

Information

Received: 29 November 2012; Revised: 31 March 2013; Published: November 2013
First available in Project Euclid: 6 November 2013

zbMATH: 1309.19009
MathSciNet: MR3127813
Digital Object Identifier: 10.1215/00127094-2381379

Subjects:
Primary: 19E15
Secondary: 14F42 , 19D45 , 19F15

Rights: Copyright © 2013 Duke University Press

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Vol.162 • No. 14 • November 2013
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