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We provide an explicit formula on the growth rate of ample heights of rational points under iteration of endomorphisms of smooth projective varieties over number fields. As an application, we… Click to show full abstract
We provide an explicit formula on the growth rate of ample heights of rational points under iteration of endomorphisms of smooth projective varieties over number fields. As an application, we give a positive answer to a variant of the Dynamical Mordell–Lang conjecture for pairs of étale endomorphisms, which is also a variant of the original one stated by Bell, Ghioca, and Tucker in their monograph.
Keywords:
rate ample;
dynamical mordell;
ample heights;
growth rate;
lang conjecture;
mordell lang
Journal Title: International Journal of Number Theory
Year Published: 2018
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Journal Title: International Journal of Number Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!