Motivic cohomology of the simplicial motive of a Rost variety

Alexander Merkurjev, Andrei Suslin

Research output: Contribution to journalArticle

  • 6 Citations

Abstract

We compute the motivic cohomology groups of the simplicial motive Xθ of a Rost variety for an n-symbol θ in Galois cohomology of a field. As an application we compute the kernel and cokernel of multiplication by θ in Galois cohomology. We also show that the reduced norm map on K2 of a division algebra of square-free degree is injective.

LanguageEnglish (US)
Pages2017-2026
Number of pages10
JournalJournal of Pure and Applied Algebra
Volume214
Issue number11
DOIs
StatePublished - Nov 1 2010

Fingerprint

Motivic Cohomology
Galois Cohomology
Division Algebra
Square free
Cohomology Group
Injective
Multiplication
kernel
Norm

Keywords

  • Primary
  • Secondary

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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Motivic cohomology of the simplicial motive of a Rost variety. / Merkurjev, Alexander; Suslin, Andrei.

In: Journal of Pure and Applied Algebra, Vol. 214, No. 11, 01.11.2010, p. 2017-2026.

Research output: Contribution to journalArticle

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