Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance of the parametric Oka property   Assume that E and B are complex manifolds and that pi is a holomorphic Serre
fibration from E onto E such that E admits a finite dominating family of
holomorphic fiber-sprays over a small neighborhood of any point in B. We show
that the parametric Oka property (POP) of B implies POP of E; conversely, POP
of E implies POP of B for contractible parameter spaces. This follows from a
parametric Oka principle for holomorphic liftings which we establish in the
paper.

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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph