Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactifications of moduli of points and lines in the projective plane   Projective duality identifies the moduli spaces $\mathbf{B}_n$ and
$\mathbf{X}(3,n)$ parametrizing linearly general configurations of $n$ points
in $\mathbb{P}^2$ and $n$ lines in the dual $\mathbb{P}^2$, respectively. The
space $\mathbf{X}(3,n)$ admits Kapranov's Chow quotient compactification
$\overline{\mathbf{X}}(3,n)$, studied also by Lafforgue, Hacking, Keel,
Tevelev, and Alexeev, which gives an example of a KSBA moduli space of stable
surfaces: it carries a family of certain reducible degenerations of
$\mathbb{P}^2$ with $n$ "broken lines". Gerritzen and Piwek proposed a dual
perspective, a compact moduli space parametrizing certain reducible
degenerations of $\mathbb{P}^2$ with $n$ smooth points. We investigate the
relation between these approaches, answering a question of Kapranov from 2003.

0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex