Motivic cohomology of the simplicial motive of a Rost variety
type: Item
instance of: scholarly article
title: Motivic cohomology of the simplicial motive of a Rost variety
zbMATH Open document ID: 1200.14041
published in: Journal of Pure and Applied Algebra
publication date: 2010-06-25T00:00:00Z
review text: The authors compute motivic cohomology groups of the simplicial motive \(\mathcal X_{\theta}\) of a Rost variety for an \(n\)-symbol \(\theta\) in Galois cohomology of a field. As an application the authors compute the kernel and cokernel of multiplication by \(\theta\) in Galois cohomology. The authors also show that the reduced norm map on \(K_2\)-group of a division algebra of square-free degree is injective.
reviewed by: Tong Wenting
Mathematics Subject Classification ID: 14F42
Mathematics Subject Classification ID: 11S25
Mathematics Subject Classification ID: 19D50
zbMATH DE Number: 5726607
zbMATH Keywords: motivic cohomology group
zbMATH Keywords: Rost variety
zbMATH Keywords: Galois cohomology
zbMATH Keywords: \(K_2\)-group
author: Alexander Merkurjev
author: Andrei A. Suslin
MaRDI profile type: Publication
full work available at URL: j.jpaa.2010.02.006
OpenAlex ID: W1965290990
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DOI: 10.1016/J.JPAA.2010.02.006
description: scientific article; zbMATH DE number 5726607