arXiv Analytics

Sign in

arXiv:1811.01676 [math.AG]AbstractReferencesReviewsResources

Rationality problem for norm one tori

Akinari Hoshi, Aiichi Yamasaki

Published 2018-11-05Version 1

We give a stably and retract rational classification of norm one tori of dimension $p-1$ where $p$ is a prime number and of dimension up to ten with some minor exceptions.

Comments: 11 pages. arXiv admin note: substantial text overlap with arXiv:1210.4525
Categories: math.AG, math.NT, math.RA
Subjects: 11E72, 12F20, 13A50, 14E08, 20C10, 20G15
Related articles: Most relevant | Search more
arXiv:1811.02145 [math.AG] (Published 2018-11-06)
Rationality problem for norm one tori, II
arXiv:2309.16187 [math.AG] (Published 2023-09-28)
Rationality problem for norm one tori for $A_5$ and ${\rm PSL}_2(\mathbb{F}_8)$ extensions
arXiv:1411.2790 [math.AG] (Published 2014-11-11)
Rationality problem for quasi-monomial actions