# A transcendental dynamical degree

## TL;DR

This paper presents an example of a rational selfmap of the projective plane with a transcendental dynamical degree, highlighting a novel instance in complex dynamics.

## Contribution

It provides the first known example of a dominant rational map with a transcendental dynamical degree in algebraic geometry.

## Key findings

- Demonstrates existence of a rational map with transcendental degree
- Expands understanding of possible dynamical degrees in algebraic dynamics
- Highlights complexity of rational selfmaps on projective planes

## Abstract

We give an example of a dominant rational selfmap of the projective plane whose dynamical degree is a transcendental number.