Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational curves on prime Fano threefolds of index 1   We study the moduli spaces of rational curves on prime Fano threefolds of
index 1. For general threefolds of most genera we compute the dimension and the
number of irreducible components of these moduli spaces. Our results confirm
Geometric Manin's Conjecture in these examples and show the enumerativity of
certain Gromov-Witten invariants.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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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: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: astro-ph