On the dynamical Manin–Mumford conjecture for plane polynomial maps

Journal of the European Mathematical Society 2026 Open access

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Authors: Romain Dujardin, Charles Favre, Matteo Ruggiero
DOI: 10.4171/jems/1807
Cited by: 0
References: 24

Abstract

We prove the dynamical Manin–Mumford conjecture for regular polynomial maps of \mathbb{A}^{2} and irreducible curves avoiding superattracting orbits at infinity, over any field of characteristic zero.

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Algebraic Geometry and Number Theory Quantum chaos and dynamical systems

Publication details

Journal / source
Journal of the European Mathematical Society
Publication date
14 July 2026
Language
EN