Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on bielliptic and trigonal curves   We prove some results on algebraic curves $X$ of genus $g\geq 2$ in
characteristic $0$. For example: Assume that $X$ has an automorphism $\sigma$
of prime order $p\geq 5$. If $\sigma$ has no fixed points, then $X$ cannot be
trigonal. On the other hand, if $\sigma$ has fixed points, then $X$ is
bielliptic only if it belongs to one of three extremal types of curves of small
genus.

0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom