A. Yamasaki

activity

20242026

collaborators

7 papers

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

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.NT2025

Hasse norm principle for metacyclic extensions with trivial Schur multiplier

Akinari Hoshi, Aiichi Yamasaki

Let $k$ be a global field, $K / k$ be a finite separable field extension and $L / k$ be the Galois closure of $K / k$ with Galois groups $G = Gal (L / k)$ and $H = Gal (L / K) ⪇ G$ .…

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\…

cs.CV2025

Improving Adversarial Transferability on Vision Transformers via Forward Propagation Refinement

Yuchen Ren, Zhengyu Zhao, Chenhao Lin +4

Vision Transformers (ViTs) have been widely applied in various computer vision and vision-language tasks. To gain insights into their robustness in practical scenarios, transferabl…

math.NT2024

Norm one tori and Hasse norm principle, III: Degree $16$ case

Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki

Let $k$ be a field, $T$ be an algebraic $k$ -torus, $X$ be a smooth $k$ -compactification of $T$ and $Pic X$ be the Picard group of $\overline{X}=X\times_k\overline…

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

Birational classification for algebraic tori

Hasse norm principle for metacyclic extensions with trivial Schur multiplier

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

Improving Adversarial Transferability on Vision Transformers via Forward Propagation Refinement

Norm one tori and Hasse norm principle, III: Degree 16 case

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

Norm one tori and Hasse norm principle, III: Degree $16$ case