Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological arrangement of curves of degree 6 on cubic surfaces in $\Bbb
  R P^3$   A quadric in $\R P^3$ cuts a curve of degree 6 on a cubic surface in $\R
P^3$. The papers classifies the nonsingular curves cut in this way on
non-singular cubic surfaces up to homeomorphism.
  Two issues new in the study related to the first part of the 16th Hilbert
problem appear in this classification. One is the distribution of the
components of the curve between the components of the non-connected cubic
surface which turns out to depend on the patterns of arrangements (see Theorem
1). The other is presence of positive genus among the components of the
complement and genus-related restrictions (see Theorems 3 and 4).

15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci