2 papers
math.DS2026
On the dynamical Manin-Mumford conjecture for plane polynomial maps
Romain Dujardin, Charles Favre, Matteo Ruggiero
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 characteri…
math.DS2025
Polynomial skew products with small relative degree
Romain Dujardin, Charles Favre, Matteo Ruggiero
We investigate the local dynamics of a proper superattracting holomorphic germ in possessing a totally invariant line such that with $d\ge 2…