Applications of the Bloch-Kato conjecture to cohomological invariants and symbol length

DOI10.1007/s00209-020-02678-3zbMath1484.16018OpenAlexW3128992767WikidataQ113906068 ScholiaQ113906068MaRDI QIDQ2231140

Alexander S. Sivatski

Publication date: 29 September 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-020-02678-3

zbMATH Keywords

cohomology groupsBloch-Kato conjecturesymbol lengthMilnor's \(K\)-groups

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Higher symbols, Milnor (K)-theory (19D45) Brauer groups (algebraic aspects) (16K50)

Cites Work

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• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Operations in Milnor \(K\)-theory
• Torsion in \(K_ 2\) of fields
• Indecomposable algebras of prime exponent.
• Degree four cohomological invariants for certain central simple algebras
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• The trace form of a central simple algebra of degree 4.
• Symbol length in the Brauer group of a field
• Quelques remarques sur le $u$-invariant
• The Index of a Brauer Class on a Brauer-Severi Variety
• Central simple algebras of prime exponent and divided power operations
• THE GROUP $ K_3$ FOR A FIELD
• Comparison of some field invariants

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