What type of study is this?

September 10, 2025Research in Number TheoryOpen Access

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

View Full Paper

Ask AI

Bookmark

This birational map demonstrates a 1-cohomologically hyperbolic structure within P^3, indicating significant mathematical properties.
The arithmetic degree at the Q-bar point is proven to be transcendental, revealing complex dynamics.
Constructed using advanced techniques, this study builds on existing foundations of birational maps and hyperbolicity.
Highlights the potential for further exploration in arithmetic geometry and dynamical systems.

Implication

Constructing a birational map of P^3 with transcendental dynamical degree, suggesting novel arithmetic pathways.

Abstract

We construct a 1-cohomologically hyperbolic birational map of P³ P 3 , with transcendental first dynamical degree. The arithmetic degree of this map at a Q̄ Q ¯ -point is transcendental.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Yutaro Sugimoto (2025) studied this question.

synapsesocial.com/papers/68c1b82654b1d3bfb60ec8d1 https://doi.org/10.1007/s40993-025-00656-4

View Full Paper

Ask AI

Bookmark

Implication

Constructing a birational map of P^3 with transcendental dynamical degree, suggesting novel arithmetic pathways.

Abstract

We construct a 1-cohomologically hyperbolic birational map of P³ P 3 , with transcendental first dynamical degree. The arithmetic degree of this map at a Q̄ Q ¯ -point is transcendental.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading