Advanced Differential Equations and Dynamical Systems
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Peer reviewed
Abstract
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.
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@article{Dujardin2026dynamical,
title = {On the dynamical Manin–Mumford conjecture for plane polynomial maps},
author = {Romain Dujardin and Charles Favre and Matteo Ruggiero},
journal = {Journal of the European Mathematical Society},
year = {2026},
doi = {10.4171/jems/1807},
url = {https://doi.org/10.4171/jems/1807}
}FAQ
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