Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Log canonical models and variation of GIT for genus four canonical
  curves   We discuss GIT for canonically embedded genus four curves and the connection
to the Hassett-Keel program. A canonical genus four curve is a complete
intersection of a quadric and a cubic, and, in contrast to the genus three
case, there is a family of GIT quotients that depend on a choice of
linearization. We discuss the corresponding VGIT problem and show that the
resulting spaces give the final steps in the Hassett-Keel program for genus
four curves.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: ao-sci