3 papers
math.NT2025
On relative fields of definition for log pairs, Vojta's height inequalities and asymptotic coordinate size dynamics
Nathan Grieve, Chatchai Noytaptim
We build on the perspective of the works \cite{Grieve:Noytaptim:fwd:orbits}, \cite{Matsuzawa:2023}, \cite{Grieve:qualitative:subspace}, \cite{Grieve:chow:approx}, \cite{Grieve:Divi…
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…
math.NT2024
On non-Zariski density of -integral points in forward orbits and the Subspace Theorem
Nathan Grieve, Chatchai Noytaptim
Working over a base number field $\KK$, we study the attractive question of Zariski non-density for -integral points in the forward -orbit of a rational…