4 papers
Unlikely intersections in families of polynomial skew products
Chatchai Noytaptim, Xiao Zhong
Motivated by the study of unlikely intersection in the moduli space of rational maps, we initiate our investigation on algebraic dynamics for families of regular polynomial skew pr…
Dynamical GCD Problems and a Variant of the Dynamical Mordell-Lang Conjecture
She Yang, Xiao Zhong
In \cite{NZ25}, the authors resolved the rational function analogue of the finiteness results for greatest common divisors of iterates of polynomials established in \cite{HT17}. Th…
A finiteness result for common zeros of iterates of rational maps
Chatchai Noytaptim, Xiao Zhong
Answering a question asked by Hsia and Tucker in their paper on the finiteness of greatest common divisors of iterates of polynomials, we prove that if are…
Towards Common Zeros of Iterated Morphisms
Chatchai Noytaptim, Xiao Zhong
Recently, the authors have proved the finiteness of common zeros of two iterated rational maps under some compositional independence assumptions. In this article, we advance toward…