Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The singularities and birational geometry of the universal compactified
  Jacobian   In this paper we establish that the singularities of the universal
compactified Jacobian are canonical if the genus is at least four. As a
corollary we determine the Kodaira dimension and the Iitaka fibration of the
universal compactified Jacobian for every degree and genus. We also determine
the birational automorphism group for every degree if the genus is at least
twelve. This extends work of G. Farkas and A. Verra, as well as that of G.
Bini, C. Fontanari and the third author.

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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol