A dynamical Shafarevich theorem for endomorphisms of $\mathbb{P}^N
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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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
$N=1$. |
|---|---|
| DOI: | 10.48550/arxiv.2110.13890 |