Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact moduli of plane curves   We construct a compactification M_d of the moduli space of plane curves of
degree d. We regard a plane curve C as a surface-divisor pair (P^2,C) and
define M_d as a moduli space of pairs (X,D) where X is a degeneration of the
plane. We show that, if d is not divisible by 3, the stack M_d is smooth and
the degenerate surfaces X can be described explicitly.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci