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arXiv 2607.12668math.NT

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 $ϕ(X,Y)=(Y,X+Y^D+b)$

Jorge Mello

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.

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