A. Yamasaki

activity

20092026

most citedRationality problem for algebraic tori

19 citations · 30 across the 22 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AG2018

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 $n = 2^{e}$ $(e \geq 1)$ is a power of $2$ and $n = 12, 14, 15$ . Retract non-rationality of norm one tori for prim…

math.AG2018★ 1 cited

Rationality problem for norm one tori

Akinari Hoshi, Aiichi Yamasaki

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.

math.AG2018

A two-dimensional rationality problem and intersections of two quadrics

Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama +1

Let $k$ be a field with char $k \neq = 2$ and $k$ be not algebraically closed. Let $a \in k ∖ k^{2}$ and $L = k (a) (x, y)$ be a field extension of $k$ where $x, y$ are algebraic…