关于映射\(\phi(X,Y)=(Y,X + Y^D + b)\)典范高度的下界
On lower bounds for canonical heights of the map $ϕ(X,Y)=(Y,X+Y^D+b)$
AI总结:
研究\(D>2\)时亨农映射非周期点典范高度下界,通过扩展\(D = 2\)时的工作得出相关结论。
AI中文摘要:
我们给出了\(D>2\)时与亨农映射\(\phi(X,Y)=(Y,X + Y^D + B)\)非周期点相关的典范高度的下界,扩展了文献\(\cite{Ingram1}\)中\(D = 2\)的先前工作。
英文摘要:
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.