Showing 2025Show all
3 papers · 1 filter
math.NT2025
A quantitative dynamical Zhang fundamental inequality and Bogomolov-type problems
Niki Myrto Mavraki, Jit Wu Yap
We prove a quantitative version of Zhang's fundamental inequality for heights attached to polarizable endomorphisms. As an application, we obtain a gap principle for the Néron-Tate…
math.NT2025
Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms
Jit Wu Yap, Tien-Cuong Dinh
Let be a number field, a smooth projective variety over and a polarized endomorphism of degree . We prove an exponential lower bound on $[K(\Per_…
math.NT2025
On the Number of Small Points for Rational Maps
Jit Wu Yap
Let be a number field and a rational map of degree with at most places of bad reduction, where we include all archimedean plac…