English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we establish a basic version of the Oka principle formultivalued sections of ramified holomorphic maps h from a complex manifold Zonto a Stein manifold X. If the ramification locus of h projects into a closedcomplex subvariety X' of X and if h admits a fiber dominating spray over asmall neighborhood of any point in X\X' then any multivalued continuous sectionof h which is holomorphic in a neighborhood of X' and unramified in X\X' can behomotopically deformed to a global holomorphic multivalued section. Thecorresponding results for sections of unramified submersions were establishedby Gromov (Oka's principle for holomorphic sections of elliptic bundles, J.Amer. Math. Soc. 2, 851-897 (1989)) and Forstneric and Prezelj (Math. Ann., toappear).

The Oka principle for multivalued sections of ramified mappings