Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of surfaces containing an elliptic quartic curve   A very general surface of degree at least four in projective space of
dimension three contains no curves other than intersections with surfaces. We
find a formula for the degree of the locus of surfaces of degree at least five
which contain some elliptic quartic curve. We also compute the degree of the
locus of quartic surfaces containing an elliptic quartic curve, a case not
covered by that formula.

31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ