Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the first steps of the minimal model program for the moduli space of
  stable pointed curves   The aim of this paper is to study all the natural first steps of the minimal
model program for the moduli space of stable pointed curves. We prove that they
admit a modular interpretation and we study their geometric properties. As a
particular case, we recover the first few Hassett-Keel log canonical models. As
a by-product, we produce many birational morphisms from the moduli space of
stable pointed curves to alternative modular projective compactifications of
the moduli space of pointed curves.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int