Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: GIT Constructions of Log Canonical Models of M_g   The purpose of this article is to give an overview of the construction of
moduli spaces of curves from the viewpoint of the log minimal model program for
M_g by providing an update of recent developments and discussing future
problems. This survey is distinguished from the recent articles of
Fedorchuk-Smyth and Morrison in its focus on low degree Hilbert stability of
curves.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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