Rationality problem for norm one tori

Abstract

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

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