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June 2011 The rationality problem for norm one tori
Shizuo Endo
Nagoya Math. J. 202: 83-106 (June 2011). DOI: 10.1215/00277630-1260459

Abstract

We consider the problem of whether the norm one torus defined by a finite separable field extension K/k is stably (or retract) rational over k. This has already been solved for the case where K/k is a Galois extension. In this paper, we solve the problem for the case where K/k is a non-Galois extension such that the Galois group of the Galois closure of K/k is nilpotent or metacyclic.

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Shizuo Endo. "The rationality problem for norm one tori." Nagoya Math. J. 202 83 - 106, June 2011. https://doi.org/10.1215/00277630-1260459

Information

Published: June 2011
First available in Project Euclid: 31 May 2011

zbMATH: 1223.14017
MathSciNet: MR2804547
Digital Object Identifier: 10.1215/00277630-1260459

Subjects:
Primary: 14E08, 20C10

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

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Vol.202 • June 2011
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