Rationality problem for norm one tori
Algebraic Geometry
2019-05-27 v4 Number Theory
Rings and Algebras
Abstract
We classify stably/retract rational norm one tori in dimension where is a prime number and in dimension up to ten with some minor exceptions.
Cite
@article{arxiv.1811.01676,
title = {Rationality problem for norm one tori},
author = {Akinari Hoshi and Aiichi Yamasaki},
journal= {arXiv preprint arXiv:1811.01676},
year = {2019}
}
Comments
12 pages. The statements of Theorem 1.9 and Theorem 1.11 are modified. arXiv admin note: substantial text overlap with arXiv:1210.4525, arXiv:1411.2790