The rationality problem for norm one tori

DOI10.1215/00277630-1260459zbMath1223.14017OpenAlexW1515167747MaRDI QIDQ3016240

Shizuo Endo

Publication date: 14 July 2011

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/00277630-1260459

zbMATH Keywords

algebraic torusretract rationalRationality problem

Mathematics Subject Classification ID

Integral representations of finite groups (20C10) Rationality questions in algebraic geometry (14E08)

Related Items (7)

Rationality Problem for Algebraic Tori ⋮ Norm one Tori and Hasse norm principle ⋮ Geometric criteria for 𝔸¹-connectedness and applications to norm varieties ⋮ Rationality problem for norm one tori for dihedral extensions ⋮ Rationality problem for norm one tori ⋮ Rationality problem for norm one tori in small dimensions ⋮ Norm one tori and Hasse norm principle. II: Degree 12 case

Cites Work

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• Retract rational fields and cyclic Galois extensions
• Principal homogeneous spaces under flasque tori; applications
• The permutation class group of a finite group
• On the rationality of algebraic tori of norm type.
• Rationality problem for generic tori in simple groups.
• Invariants of finite Abelian groups
• Examples of non-orthogonal involutions of Euclidean spaces
• On a classification of the function fields of algebraic tori
• La $R$-équivalence sur les tores
• On certain lattices associated with generic division algebras

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