Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: P1-bundles over projective manifolds of Picard number one each of which
  admit another smooth morphism of relative dimension one   We give a complete classification of P1-bundles over a projective manifold of
Picard number one which admit another smooth morphism of relative dimension
one.

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol