Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On real projective connections, V.I. Smirnov's approach, and black hole
  type solutions of the Liouville equation   We consider real projective connections on Riemann surfaces and corresponding
solutions of the Liouville equation. It is shown that these solutions have
singularities of special type (of a black hole type) on a finite number of
simple analytical contours. The case of the Riemann sphere with four real
punctures, considered in V.I. Smirnov's thesis (Petrograd, 1918), is analyzed
in detail.

3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int