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arXiv · 2101.08417

Zariski density of points with maximal arithmetic degree for surfaces

Kaoru Sano·Takahiro Shibata
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Abstract

We prove that any surjective self-morphism with $\delta_f > 1$ on a potentially dense smooth projective surface defined over a number field $K$ has densely many $L$-rational points for a finite extension $L/K$.

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Kaoru Sano, Takahiro Shibata. 2021-01-21. Zariski density of points with maximal arithmetic degree for surfaces. https://arxiv.org/abs/2101.08417

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