Lower bounds on the canonical height associated to the morphism \phi(z)= z^d+c

TL;DR

This paper establishes lower bounds on the canonical height for the dynamical system defined by the morphism (z)=z^d+c, contributing to the understanding of height growth in polynomial dynamics.

Contribution

It provides new lower bounds on the canonical height for the morphism (z)=z^d+c, advancing the theoretical understanding of height functions in polynomial dynamical systems.

Findings

Derived explicit lower bounds for canonical heights

Enhanced understanding of height growth in polynomial dynamics

Contributed to the theoretical framework of arithmetic dynamics

Abstract

Certain lower bounds are obtained on the canonical height associated to the morphism $\phi(z)=z^d+c$.