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

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.

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

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

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

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

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

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

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