Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The geometry of the ball quotient model of the moduli space of genus
  four curves   S. Kondo has constructed a ball quotient compactification for the moduli
space of non-hyperelliptic genus four curves. In this paper, we show that this
space essentially coincides with a GIT quotient of the Chow variety of
canonically embedded genus four curves. More specifically, we give an explicit
description of this GIT quotient, and show that the birational map from this
space to Kondo's space is resolved by the blow-up of a single point. This
provides a modular interpretation of the points in the boundary of Kondo's
space. Connections with the slope nine space in the Hassett-Keel program are
also discussed.

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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org