Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli of stable sheaves supported on curves of genus three contained in
  a quadric surface   We study the moduli space of stable sheaves of Euler characteristic 1
supported on curves of arithmetic genus 3 contained in a smooth quadric
surface. We show that this moduli space is rational. We compute its Betti
numbers by studying the variation of the moduli spaces of alpha-semi-stable
pairs. We classify the stable sheaves using locally free resolutions or
extensions. We give a global description: the moduli space is obtained from a
certain flag Hilbert scheme by performing two flips followed by a blow-down.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci