Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The automorphism groups of Enriques surfaces covered by symmetric
  quartic surfaces   Let $S$ be the (minimal) Enriques surface obtained from the symmetric quartic
surface $(\sum_{i<j}x_ix_j)^2=kx_1x_2x_3x_4$ in $\mathbb{P}^3$ with $k\neq
0,4,36$, by taking quotient of the Cremona action $(x_i) \mapsto (1/x_i)$. The
automorphism group of $S$ is a semi-direct product of a free product
$\mathcal{F}$ of four involutions and the symmetric group $\mathfrak{S}_4$. Up
to action of $\mathcal{F}$, there are exactly $29$ elliptic pencils on $S$.

24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn