Examples of Rational Maps of CP² with Equal Dynamical Degrees and No Invariant Foliation

2013/09/17 by Scott Kaschner, Scott R. Kaschner, Rodrigo A. Pérez +4
Mathematics · Physics and Astronomy · #32H50 (Secondary) #37F10 (Primary) #37F75 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #math.DS #msc:32H50 #msc:37F10 #msc:37F75

paper · pdf · doi:10.48550/arxiv.1309.4364

To appear in Bulletin de la SMF

openalex publication_date 2013/09/17 · arxiv created 2015/11/04 · arxiv updated 2015/11/05 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We present simple examples of rational maps of the complex projective plane with equal first and second dynamical degrees and no invariant foliation.

Related

• Typical dynamics of plane rational maps with equal degrees
• A transcendental dynamical degree
• (Relative) dynamical degrees of rational maps over an algebraic closed field
• A computation of invariants of a rational self-map
• Pseudo-automorphisms with no invariant foliation