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

Abstract

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

arXiv comment24 pages, 1 figure

References in corpus (1)

• Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties