3 papers
math.DS2026
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…
math.NT2026
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…
math.AG2024
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…