Rationality problem for norm one tori in small dimensions

Sumito Hasegawa, Akinari Hoshi, Aiichi Yamasaki

We classify stably/retract rational norm one tori in dimension $n-1$ for $n=2^e$ $(e\ge 1)$ is a power of $2$ and $n=12,14,15$. Retract non-rationality of norm one tori for prim…