Holomorphic Families Of Fatou-Bieberbach Domains And Applications To Oka Manifolds

MATHEMATICAL RESEARCH LETTERS(2020)

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摘要
We construct holomorphically varying families of Fatou-Bieberbach domains with given centres in the complement of any compact polynomially convex subset K of C-n for n > 1. This provides a simple proof of the recent result of Y. Kusakabe to the effect that the complement C-n \ K of any polynomially convex subset K of C-n is an Oka manifold. The analogous result is obtained with C-n replaced by any Stein manifold with the density property.
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