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arXiv · 2110.13890

A dynamical Shafarevich theorem for endomorphisms of $\mathbb{P}^N$

Jamie Juul·Holly Krieger·Nicole Looper·Niki Myrto Mavraki
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Abstract

We prove a dynamical analogue of the Shafarevich conjecture for morphisms $f:\mathbb{P}_K^N\to\mathbb{P}_K^N$ of degree $d\ge2$, defined over a number field $K$. This extends previous work of Silverman and others in the case $N=1$.

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Jamie Juul, Holly Krieger, Nicole Looper, Niki Myrto Mavraki. 2021-10-26. A dynamical Shafarevich theorem for endomorphisms of $\mathbb{P}^N$. https://arxiv.org/abs/2110.13890

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