Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remark on fundamental groups and effective Diophantine methods for
  hyperbolic curves   We discuss how non-commutative fundamental groups could eventually contribute
to algorithms for finding rational points on hyperbolic curves.

10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga