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On the dynamical Manin–Mumford conjecture for plane polynomial maps

  • Romain Dujardin

    Sorbonne Université et Université Paris-Cité, France

  • Charles Favre

    École Polytechnique, Palaiseau, France

  • Matteo Ruggiero

    Université Paris-Cité et Sorbonne Université, France
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Abstract

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

Cite this article

Romain Dujardin, Charles Favre, Matteo Ruggiero, On the dynamical Manin–Mumford conjecture for plane polynomial maps. J. Eur. Math. Soc. (2026), published online first

DOI 10.4171/JEMS/1807