Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Oka principle for multivalued sections of ramified mappings   In this paper we establish a basic version of the Oka principle for
multivalued sections of ramified holomorphic maps h from a complex manifold Z
onto a Stein manifold X. If the ramification locus of h projects into a closed
complex subvariety X' of X and if h admits a fiber dominating spray over a
small neighborhood of any point in X\X' then any multivalued continuous section
of h which is holomorphic in a neighborhood of X' and unramified in X\X' can be
homotopically deformed to a global holomorphic multivalued section. The
corresponding results for sections of unramified submersions were established
by Gromov (Oka's principle for holomorphic sections of elliptic bundles, J.
Amer. Math. Soc. 2, 851-897 (1989)) and Forstneric and Prezelj (Math. Ann., to
appear).

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The categories of this paper are: q-alg
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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: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn