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

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2025年8月6日

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Yutaro Sugimoto

摘要

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

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

摘要