On the dynamical Manin-Mumford conjecture for plane polynomial maps

Romain Dujardin (1) , Charles Favre (2) , Matteo Ruggiero (3)

1 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation
2 CMLS - Centre de Mathématiques Laurent Schwartz
3 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

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.

Domaines: Systèmes dynamiques [math.DS]; Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Romain Dujardin, Charles Favre, Matteo Ruggiero. On the dynamical Manin-Mumford conjecture for plane polynomial maps. 2023. ⟨hal-04361693⟩