Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A compactification of the moduli space of marked vertical lines in
  $\mathbb{C}^2$   For $r \geq 1$ and $\mathbf{n} \in
\mathbb{Z}_{\geq0}^r\setminus\{\mathbf{0}\}$, we construct a proper complex
variety $\overline{2M}_{\mathbf{n}}$. $\overline{2M}_{\mathbf{n}}$ is locally
toric, and it is equipped with a forgetful map $\overline{2M}_{\mathbf{n}} \to
\overline M_{0,r+1}$. This space is a compactification of $2M_{\mathbf{n}}$,
the configuration space of marked vertical lines in $\mathbb{C}^2$ up to
translations and dilations. In the appendices, we give several examples and
show how the stratification of $\overline{2M}_{\mathbf{n}}$ can be used to
recursively compute its virtual Poincar\'{e} polynomial.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con