Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism groups of smooth plane curves   The author determines the structure of automorphism groups of smooth plane
curves of degree at least four. Furthermore, he gives some upper bounds for the
order of automorphism groups of smooth plane curves and classifies the cases
with large automorphism groups. This paper also contains a simple proof of the
uniqueness of smooth plane curves with the full automorphism group of maximal
order for each degree.

12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc