Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli spaces of weighted stable curves and log canonical models of
  $\bar{M}_{g,n}$   Using Koll\'ar's semipositivity results, we produce a number of nef and ample
tautological divisors on Hassett's spaces of weighted stable pointed curves. As
an application, we prove that Hassett's spaces are log canonical models of
Deligne-Mumford spaces of stable pointed curves.

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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom