Yuta Takada

activity

20202026

collaborators

7 papers

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.NT2024

Characteristic polynomials of isometries of even unimodular lattices

Yuta Takada

E. Bayer-Fluckiger gave a necessary and sufficient condition for a polynomial to be realized as the characteristic polynomial of a semisimple isometry of an even unimodular lattice…

math.NT2022

Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20

Yuta Takada

This article extends Bayer-Fluckiger's theorem on characteristic polynomials of isometries on an even unimodular lattice to the case where the isometries have determinant $- 1$ . As…

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…