Multiplicative field invariants and the Brauer group

DOI10.1016/0021-8693(90)90288-YzbMath0729.13006MaRDI QIDQ805677

David J. Saltman

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

rationality problemaction of linear algebraic groupfields of invariantsunramified Brauer group

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20) Actions of groups on commutative rings; invariant theory (13A50) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Brauer groups of schemes (14F22)

Related Items

Rationality Problem for Algebraic Tori ⋮ Twisted actions of symmetric groups ⋮ \(H^3\) and generic matrices ⋮ Ramification and lattices ⋮ Three-dimensional purely quasimonomial actions ⋮ Birational classification of fields of invariants for groups of order 128 ⋮ Bogomolov multipliers and retract rationality for semidirect products ⋮ Retract rational fields ⋮ Frobenius groups and retract rationality ⋮ Twisted multiplicative field invariants, Noether's problem, and Galois extensions ⋮ Patching subfields of division algebras ⋮ Reduction in the rationality problem for multiplicative invariant fields ⋮ Degree three unramified cohomology groups and Noether's problem for groups of order 243 ⋮ Multiplicative Invariant Fields of Dimension ≤6

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