Yuta Takada

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20202026

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6 papers · 1 filter

math.AG2026

Pointless K3 surfaces over finite fields

Simon Brandhorst, Yuta Takada

We provide an algorithm for enumerating ordinary K3 surfaces over a fixed finite field based on Taelman's theorem. We use this algorithm to prove that there exist no K3 surfaces wi…

math.AG2026

Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces

Kohei Kikuta, Yuta Takada, Taiki Takatsu

We prove gap theorems for entropy norms on automorphism groups of K3 surfaces, Enriques surfaces, and irreducible holomorphic symplectic manifolds. We also study the achirality of…

math.AG2025

Unboundedness of fixed point multiplicities on a K3 surface

Kenji Hashimoto, Yuta Takada

We exhibit automorphisms of a certain K3 surface in $P^{1} \times P^{1} \times P^{1}$ with an isolated fixed point at which the induced action on the stalk of t…

math.AG2024

Dynamical degrees of automorphisms of K3 surfaces with Picard number 2

Yuta Takada

We show that there exists an automorphism of a projective K3 surface with Picard number $2$ such that the trace of its action on the Picard lattice is $3$ . Together with a result o…

math.AG2021

K3 Surfaces, Picard Numbers and Siegel Disks

Katsunori Iwasaki, Yuta Takada

If a K3 surface admits an automorphism with a Siegel disk, then its Picard number is an even integer between $0$ and $18$ . Conversely, using the method of hypergeometric groups, we…

math.AG2020

Hypergeometric Groups and Dynamics on K3 Surfaces

Katsunori Iwasaki, Yuta Takada

A hypergeometric group is a matrix group modeled on the monodromy group of a generalized hypergeometric differential equation. This article presents a fruitful interaction between…