Yutaro Sugimoto

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20232025

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math.AG2025

A birational map of a projective space whose intermediate dynamical degrees are all transcendental

Yutaro Sugimoto

We construct a birational map of $P^{d}$ ( $d \geq 6$ ) whose intermediate dynamical degrees are all trancendental.

math.AG2024

A $1$ -cohomologically hyperbolic birational map of $P^{3}$ , with a transcendental arithmetic degree

Yutaro Sugimoto

We construct a $1$ -cohomologically hyperbolic birational map of $P^{3}$ , with transcendental first dynamical degree. The arithmetic degree of this map at a $\overline{\mathb…

math.AG2023

The minimum value of the first dynamical degrees of automorphisms of complex simple abelian varieties with fixing dimensions

Yutaro Sugimoto

We consider the minimum value of the first dynamical degrees, which are larger than $1$ , of automorphisms for prime dimensional complex simple abelian varieties. Also, we calculate…

math.AG2023

Dynamical degrees of automorphisms of complex simple abelian varieties and Salem numbers

Yutaro Sugimoto

We prove that every Salem number can be realized as the first dynamical degree of an automorphism of a complex simple abelian variety. Also by using the similar technique, we prove…

A birational map of a projective space whose intermediate dynamical degrees are all transcendental

A 1-cohomologically hyperbolic birational map of P3, with a transcendental arithmetic degree

The minimum value of the first dynamical degrees of automorphisms of complex simple abelian varieties with fixing dimensions

Dynamical degrees of automorphisms of complex simple abelian varieties and Salem numbers

A $1$ -cohomologically hyperbolic birational map of $P^{3}$ , with a transcendental arithmetic degree