Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two recent p-adic approaches towards the (effective) Mordell conjecture   We give an introductory account of two recent approaches towards an effective
proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter
method, which is usually called the method of Chabauty--Kim or non-abelian
Chabauty in the literature, has the advantage that in some cases it has been
turned into an effective method to determine the set of rational points on a
curve, and we illustrate this by presenting three new examples of modular
curves where this set can be determined.

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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg