Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite generation of the algebra of type A conformal blocks via
  birational geometry   We study birational geometry of the moduli space of parabolic bundles over a
projective line, in the framework of Mori's program. We show that the moduli
space is a Mori dream space. As a consequence, we obtain the finite generation
of the algebra of type A conformal blocks. Furthermore, we compute the
H-representation of the effective cone which was previously obtained by
Belkale. For each big divisor, the associated birational model is described in
terms of moduli space of parabolic bundles.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics