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arXiv · 2607.12668

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$

Jorge Mello
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Abstract

We give a lower bound for the canonical height associated to H\'enon maps $\phi(X,Y)=(Y,X+Y^D+B)$ of non-periodic points when $D>2$ in the spirit of conjectures of Lang and Silverman. This is followed by an application and extends previous work for $D=2$ by Ingram.

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Jorge Mello. 2026-07-14. On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$. https://arxiv.org/abs/2607.12668

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