On the dynamical Manin-Mumford conjecture for plane polynomial maps
Dynamical Systems
2023-12-29 v2 Algebraic Geometry
Number Theory
Abstract
We prove the dynamical Manin-Mumford conjecture for regular polynomial maps of A^2 and irreducible curves avoiding super-attracting orbits at infinity, over any field of characteristic 0.
Keywords
Cite
@article{arxiv.2312.14817,
title = {On the dynamical Manin-Mumford conjecture for plane polynomial maps},
author = {Romain Dujardin and Charles Favre and Matteo Ruggiero},
journal= {arXiv preprint arXiv:2312.14817},
year = {2023}
}