Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toric Fano manifolds with nef tangent bundles   In this note we prove that any toric Fano manifold with nef tangent bundle is
a product of projective spaces. In particular, it implies that
Campana-Peternell conjecture hold for toric manifolds.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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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: hep-ex
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The categories of this paper are: nlin