Motivic cohomology of the simplicial motive of a Rost variety

DOI10.1016/j.jpaa.2010.02.006zbMath1200.14041OpenAlexW1965290990MaRDI QIDQ979065

Alexander S. Merkurjev, Andrei A. Suslin

Publication date: 25 June 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.006

zbMATH Keywords

Galois cohomologymotivic cohomology group\(K_2\)-groupRost variety

Mathematics Subject Classification ID

Galois cohomology (11S25) Computations of higher (K)-theory of rings (19D50) Motivic cohomology; motivic homotopy theory (14F42)

Related Items

On the motive of the group of units of a division algebra, Chow rings of versal complete flag varieties, MOTIVIC COHOMOLOGY OF TWISTED FLAG VARIETIES, The first stable homotopy groups of motivic spheres, On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3, On the norm and multiplication principles for norm varieties, Principal ideals in mod-\(\ell \) Milnor \(K\)-theory, K-theory of discrete valuation rings, The mathematics of Andrei Suslin, Kunneth formula for graded rings associated to 𝐾-theories of Rost motives, Rationality problems and conjectures of Milnor and Bloch–Kato, The algebraic \(K\)-theory of the classical groups and some twisted forms, The Hurewicz homomorphism in algebraic K-theory

Cites Work

• Chow groups with coefficients
• Motivic decomposition of isotropic projective homogeneous varieties
• Reduced power operations in motivic cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Norm varieties
• The norm residue isomorphism theorem
• Norm Varieties and the Chain Lemma (After Markus Rost)
• Higher algebraic K-theory: I
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