Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit groups for relatively hyperbolic groups, II: Makanin-Razborov
  diagrams   Let Gamma be a torsion-free group which is hyperbolic relative to a
collection of free abelian subgroups. We construct Makanin-Razborov diagrams
for Gamma. We also prove that every system of equations over Gamma is
equivalent to a finite subsystem, and a number of structural results about
Gamma-limit groups.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess