Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadratic Chabauty and rational points I: p-adic heights   We give the first explicit examples beyond the Chabauty-Coleman method where
Kim's nonabelian Chabauty program determines the set of rational points of a
curve defined over $\mathbb{Q}$ or a quadratic number field. We accomplish this
by studying the role of $p$-adic heights in explicit nonabelian Chabauty.

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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex