Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology of Real Schlafli Six-Line Configurations on Cubic Surfaces and
  in $\mathbb{RP}^3$   A famous configuration of 27 lines on a non-singular cubic surface in
$\mathbb P^3$ contains remarkable subconfigurations, and in particular the ones
formed by six pairwise disjoint lines. We study such six-line configurations in
the case of real cubic surfaces from topological viewpoint, as configurations
of six disjoint lines in the real projective 3-space, and show that the
condition that they lie on a cubic surface implies a very special property of
{\it homogeneity}. This property distinguish them in the list of 11 deformation
types of configurations formed by six disjoint lines in $\mathbb{RP}^3$.

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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex