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arXiv · 1106.5300

Deformations of Oka manifolds

Finnur Larusson
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Abstract

We investigate the behaviour of the Oka property with respect to deformations of compact complex manifolds. We show that in a family of compact complex manifolds, the set of Oka fibres corresponds to a G-delta subset of the base. We give a necessary and sufficient condition for the limit fibre of a sequence of Oka fibres to be Oka in terms of a new uniform Oka property. We show that if the fibres are tori, then the projection is an Oka map. Finally, we consider holomorphic submersions with noncompact fibres.

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Finnur Larusson. 2011-06-27. Deformations of Oka manifolds. https://arxiv.org/abs/1106.5300

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