Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Picard number of almost Fano threefolds with pseudo-index >1   We study Gorenstein almost Fano threefolds X with canonical singularities and
pseudoindex > 1. We show that the maximal Picard number of X is 10 in general,
3 if X is Fano, and 8 if X is toric. Moreover, we characterize the boundary
cases. In the Fano case, we prove that the generalized Mukai conjecture holds.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: astro-ph