On the rationality of algebraic tori of norm type.

DOI10.1006/jabr.2000.8473zbMath1062.20505OpenAlexW1975639138MaRDI QIDQ1840604

Shizuo Endo

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8473

zbMATH Keywords

Galois groupsGalois extensionalgebraic toricharacter groupsnorm toriaugmentation mapsstably rational function fields

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Separable extensions, Galois theory (12F10) Geometric invariant theory (14L24) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic functions and function fields in algebraic geometry (14H05) Rationality questions in algebraic geometry (14E08)

Related Items (1)

The rationality problem for norm one tori

Cites Work

• Retract rational fields and cyclic Galois extensions
• On algebraic tori of norm type
• Invariants of finite Abelian groups
• On algebraic group varieties
• On a classification of the function fields of algebraic tori
• Unnamed Item

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