Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the birational geometry of the moduli of hyperelliptic curves   We study the birational geometry of the moduli spaces of hyperelliptic curves
with marked points. We complete the Kodaira classification proving that these
spaces are of Calabi-Yau type when the number of markings is $4g+6$. Further,
we provide a full classification of the structure of the pseudo-effective cone
of divisors, showing the cone is non-polyhedral when the number of markings is
at least two and polyhedral in the remaining cases.

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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin