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The rationality problem for norm one tori

Published online by Cambridge University Press:  11 January 2016

Shizuo Endo
Shizuo Endo*
Affiliation:
Uehara 3-4-9, Shibuya-ku, Tokyo 151-0064, [email protected]
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Abstract

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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.

Keywords

14E0820C10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 202 , June 2011 , pp. 83 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

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