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

2026/07/14 by Jorge Mello
#math.NT

paper · pdf

Abstract

We give a lower bound for the canonical height associated to Hénon maps ϕ(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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