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 2023Show all

2 papers · 1 filter

math.AG2023

Rationality problem for norm one tori for small non-Galois extensions: Symmetric, alternating and linear group cases including stably rational $PSL_{2} (F_{2^{d}})$ cases with $d = 1, 2, 3$

Akinari Hoshi, Aiichi Yamasaki

Let $k$ be a field, $K / k$ be a separable field extension of degree $n$ and $L / k$ be the Galois closure of $K / k$ . Let $G = Gal (L / k)$ and $H = Gal (L / K) ⪇ G$ with $[G : H] = n$ …

math.AG2023

Rationality problem for norm one tori for dihedral extensions

Akinari Hoshi, Aiichi Yamasaki

We give a complete answer to the rationality problem (up to stable $k$ -equivalence) for norm one tori $R_{K / k}^{(1)} (G_{m})$ of $K / k$ whose Galois closures $L / k$ are dihedra…

Rationality problem for norm one tori for small non-Galois extensions: Symmetric, alternating and linear group cases including stably rational PSL2​(F2d​) cases with d=1,2,3

Rationality problem for norm one tori for dihedral extensions

Rationality problem for norm one tori for small non-Galois extensions: Symmetric, alternating and linear group cases including stably rational $PSL_{2} (F_{2^{d}})$ cases with $d = 1, 2, 3$