Applications of a parametric Oka principle for liftings
Date
2010
Authors
Larusson, F.
Editors
Ebenfelt, P.
Hungerbuhler, N.
Kohn, J.
Mok, N.
Straube, E.
Hungerbuhler, N.
Kohn, J.
Mok, N.
Straube, E.
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Book chapter
Citation
Complex Analysis, 2010 / Ebenfelt, P., Hungerbuhler, N., Kohn, J., Mok, N., Straube, E. (ed./s), pp.205-211
Statement of Responsibility
Finnur Lárusson
Conference Name
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.
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Copyright 2010 Springer Basel AG