English

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

Algebraic Geometry 2025-09-10 v1

Abstract

We construct a 11-cohomologically hyperbolic birational map of P3\mathbb{P}^3, with transcendental first dynamical degree. The arithmetic degree of this map at a Q\overline{\mathbb{Q}}-point is transcendental.

Keywords

Cite

@article{arxiv.2401.09821,
  title  = {A $1$-cohomologically hyperbolic birational map of $\mathbb{P}^3$, with a transcendental arithmetic degree},
  author = {Yutaro Sugimoto},
  journal= {arXiv preprint arXiv:2401.09821},
  year   = {2025}
}

Comments

24 pages, 1 figure