Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A two-dimensional family of surfaces of general type with $p_g=0$ and
  $K^2=7$   We study the construction of complex minimal smooth surfaces $S$ of general
type with $p_g(S)=0$ and $K_S^2=7$. Inoue constructed the first examples of
such surfaces, which can be described as Galois
$\mathbb{Z}_2\times\mathbb{Z}_2$-covers over the four-nodal cubic surface.
Later the first named author constructed more examples as Galois
$\mathbb{Z}_2\times\mathbb{Z}_2$-covers over certain six-nodal del Pezzo
surfaces of degree one.
  In this paper we construct a two-dimensional family of minimal smooth
surfaces of general type with $p_g=0$ and $K^2=7$, as Galois
$\mathbb{Z}_2\times\mathbb{Z}_2$-covers of certain rational surfaces with
Picard number three, with eight nodes and with two elliptic fibrations. This
family is different from the previous ones.

34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom