Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of irreducible plane quartics and their quadratic residue
  conics   Let $D$ be an irreducible plane curve. In this article, we first introduce a
notion of a quadratic residue curve mod $D$, and study quadratic residue concis
$C$ mod an irreducible quartic curve $Q$. As an application, we study a
dihedral cover of $P^2$ with branch locus $C+Q$ and give two examples of
Zariski pairs as by-products.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas