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arXiv · 1908.06231

Uniform Bounds for Periods of Endomorphisms of Varieties

Keping Huang
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Abstract

Suppose $X$ is a projective variety defined over a finite extension $K$ of $\mathbb{Q}_p$ and suppose $X$ admits a model $\mathcal{X}$ defined over the ring of integers $R$ of $K$. Let $f:{X}\rightarrow {X}$ be an endomorphism of $X$ defined over $K$ that can be extended to an endomorphism of $\mathcal{X}$ defined over $R$. We apply a method of Fakhruddin to prove an explicit upper bound for the primitive period of periodic points defined over $R$.

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Keping Huang. 2019-08-17. Uniform Bounds for Periods of Endomorphisms of Varieties. https://arxiv.org/abs/1908.06231

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