Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral Points on Elliptic Curves and Modularity   In this paper we prove the finiteness of the set of S-integral points of a
punctured rational elliptic curve without complex multiplication using the
Chabauty-Kim method. This extends previous results of Kim in the complex
multiplication case. The key input of our approach is the use of modularity
techniques to prove the vanishing of certain Selmer groups involved in the
Chabauty-Kim method.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph