Akinari Hoshi

activity

20242026

most citedBirational classification for algebraic tori

1 citations · 1 across the 4 of their papers we have counts for

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math.AG2026

Rationality problem for norm one tori of tensor products of Ã©tale algebras and Hasse norm principle

Mathieu Florence, Akinari Hoshi, Aiichi Yamasaki

Let $k$ be a field. Let $A = \prod_{i = 1}^{r} K_{i}$ and $B = \prod_{j = 1}^{s} E_{j}$ be Ã©tale $k$ -algebras where $K_{i}$ and $E_{j}$ are finite separable field extensions of $k$ with $[K_{i} : k] = m_{i}$ …

math.AG2025★ 1 cited

Birational classification for algebraic tori

Akinari Hoshi, Aiichi Yamasaki

We give a stably birational classification for algebraic tori of dimensions $3$ and $4$ over a field $k$ . First, we define the weak stably equivalence of algebraic tori and show th…

math.AG2025

Rationality problem for norm one tori for $A_{5}$ and $PSL_{2} (F_{8})$ extensions

Akinari Hoshi, Aiichi Yamasaki

We give a complete answer to the rationality problem (up to stable $k$ -equivalence) for norm one tori $T = R_{K / k}^{(1)} (G_{m})$ of $K / k$ whose Galois closures $L / k$ are $A_5\…

Rationality problem for norm one tori of tensor products of Ã©tale algebras and Hasse norm principle

Birational classification for algebraic tori

Rationality problem for norm one tori for A5​ and PSL2​(F8​) extensions

Rationality problem for norm one tori for $A_{5}$ and $PSL_{2} (F_{8})$ extensions