Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On irreducibility of the family of ACM curves of degree 8 and genus 4 in
  $P^4_k$   Let C be an arithmetically Cohen-Macaulay curve of arithmetic genus 4. We
prove that the family of such curves of degree 8 in $P^4_k$ is irreducible.

6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci