Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Finsler vector bundles with positive Kobayashi curvature   In this short note, we prove that a complex Finsler vector bundle with
positive Kobayashi curvature must be ample, which partially solves a problem of
S. Kobayashi posed in 1975. As applications, a strongly pseudoconvex complex
Finsler manifold with positive Kobayashi curvature must be biholomorphic to the
complex projective space; we also show that all Schur polynomials are
numerically positive for complex Finsler vector bundles with positive Kobayashi
curvature.

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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: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: astro-ph