Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Fano surface of the Klein cubic threefold   We prove that the Klein cubic threefold $F$ is the only smooth cubic
threefold which has an automorphism of order 11. We compute the period lattice
of the intermediate Jacobian of $F$ and study its Fano surface $S$. We compute
also the set of fibrations of $S$ onto a curve of positive genus and the
intersection between the fibres of these fibrations. These fibres generate an
index 2 sub-group of the N\'eron-Severi group and we obtain a set of generators
of this group. The N\'eron-Severi group of $S$ has rank $25=h^{1,1}$ and
discriminant $11^{10}$.

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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th