Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th