Taro Hayashi

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math.AG2026

Automorphisms of Smooth Hypersurfaces with Fixed Loci of Codimension at Most Two

Taro Hayashi, Ryoichi Suzuki

We study automorphisms of smooth hypersurfaces in projective space $P^{n + 1}$ whose fixed loci have codimension at most two for $n \geq 2$ . While classifications of possible…

math.AG2025

Large orders of automorphisms of smooth curves in $P^{1} \times P^{1}$

Taro Hayashi, Keika Shimahara

For $a, b \geq 3$ , we calculate the orders of automorphisms of smooth curves with bidegree $(a, b)$ in the product $\pp$ of the projective line $P^{1}$ . We identify smooth curve…

math.AG2025

Subgroups of the Projective Linear Group Realized by wild Galois Points

Taro Hayashi, Kashu Ito, Atsuya Nakajima +1

We work over an algebraically closed field of positive characteristic. This paper investigates linear representations of Galois groups arising from wild Galois points on projective…

math.AG2025

Persistence of Galois property of hypersurfaces over algebraic integers across other characteristics

Taro Hayashi, Kento Otsuka, Keika Shimahara +1

In this paper, we investigate hypersurfaces defined over a ring of algebraic integers, and show that if the projection from a point induces a Galois extension over either a number…

Automorphisms of Smooth Hypersurfaces with Fixed Loci of Codimension at Most Two

Large orders of automorphisms of smooth curves in P1×P1

Subgroups of the Projective Linear Group Realized by wild Galois Points

Persistence of Galois property of hypersurfaces over algebraic integers across other characteristics

Large orders of automorphisms of smooth curves in $P^{1} \times P^{1}$