Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for
  double plane sextics   A simple sextic is a reduced complex projective plane curve of degree 6 with
only simple singularities. We introduce a notion of Z-splitting curves for the
double covering of the projective plane branching along a simple sextic, and
investigate lattice Zariski k-ples of simple sextics by Z-splitting curves. We
define specialization of lattice types, and classify all lattice types of
Z-splitting curves of degree less than or equal to 3 up to specializations.

6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas