For Hénon maps (x,y)→(y,x+y^d+b) with d≥2 over number or function fields, every non-periodic point has canonical height at least a constant times max{h(b),1}.
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On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$
For Hénon maps (x,y)→(y,x+y^d+b) with d≥2 over number or function fields, every non-periodic point has canonical height at least a constant times max{h(b),1}.