Stein Neighborhoods, Holomorphic Retractions, and Extensions of Holomorphic Sections

Abstract

Let Y be a complex manifold with the property that every holomorphic map from a neighborhood of a compact convex set K ⊂ Cn to Y can be approximated uniformly on K by entire maps Cn → Y . If X is a reduced Stein space and π : Z → X is a holomorphic fiber bundle with fiber Y then we show that sections X → Z enjoy the Oka property with interpolation and… (More)

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