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https://hdl.handle.net/2440/65186
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Type: | Book chapter |
Title: | Applications of a parametric Oka principle for liftings |
Author: | Larusson, F. |
Citation: | Complex Analysis, 2010 / Ebenfelt, P., Hungerbuhler, N., Kohn, J., Mok, N., Straube, E. (ed./s), pp.205-211 |
Publisher: | Springer |
Publisher Place: | Switzerland |
Issue Date: | 2010 |
Series/Report no.: | Trends in Mathematics |
ISBN: | 9783034600088 |
Editor: | Ebenfelt, P. Hungerbuhler, N. Kohn, J. Mok, N. Straube, E. |
Statement of Responsibility: | Finnur Lárusson |
Abstract: | A parametric Oka principle for liftings, recently proved by Forstnerič, provides many examples of holomorphic maps that are fibrations in a model structure introduced in previous work of the author. We use this to show that the basic Oka property is equivalent to the parametric Oka property for a large class of manifolds. We introduce new versions of the basic and parametric Oka properties and show, for example, that a complex manifold X has the basic Oka property if and only if every holomorphic map to X from a contractible submanifold of Cn extends holomorphically to Cn. |
Keywords: | Stein manifold Oka principle Oka property convex interpolation property subelliptic model structure fibration |
Rights: | Copyright 2010 Springer Basel AG |
DOI: | 10.1007/978-3-0346-0009-5 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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