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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.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…