Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note sur la d\'etermination alg\'ebrique du groupe fondamental
  pro-r\'esoluble d'une courbe affine   Let X be a smooth projective algebraic curve of genus g minus $r\geq 1$
points defined over an algebraically closed field k of characteristic $p\geq
0$. The structure of the largest prime to p quotient of the \'etale fundamental
group is well known by transcendental methods : it is isomorphic to the largest
prime to p quotient of a free pro-finite group on 2g+r-1 generators. We show
that, with purely algebraic means, we can prove the corresponding result for
the largest pro-solvable quotient of these groups.

26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg