Specializations of Brauer classes over algebraic function fields

DOI10.1090/S0002-9947-00-02474-0zbMath0951.12001OpenAlexW1548065336MaRDI QIDQ4485741

Murray M. Schacher, Burton Fein

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02474-0

zbMATH Keywords

function fieldsGalois cohomologyHilbertian fieldstranscendence degree

Mathematics Subject Classification ID

Galois cohomology (12G05) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15)

Cites Work

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• The Brauer group and the center of generic matrices
• Galois groups of intersections of local fields
• Crossed products over algebraic function fields
• Valuation theory
• Brauer-Hilbertian Fields
• Finite-Dimensional Division Algebras over Fields