Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of non-geometric sections of arithmetic fundamental
  groups   We show the existence of group-theoretic sections of the
"etale-by-geometrically abelian" quotient of the arithmetic fundamental group
of hyperbolic curves over $p$-adic local fields relative to a proper and flat
model which are non-geometric, i.e., which do not arise from rational points.

24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int