Generic splitting fields of central simple algebras: Galois cohomology and nonexcellence

DOI10.1023/A:1009910324736zbMath0927.11024OpenAlexW2108382375MaRDI QIDQ1294011

Nikita A. Karpenko, Oleg T. Izhboldin

Publication date: 12 December 1999

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009910324736

zbMATH Keywords

Galois cohomologyexcellent field extensioncentral simple algebraChow groupSeveri-Brauer varietyquadratic form over a field

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) (Equivariant) Chow groups and rings; motives (14C15) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

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