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Proper discs in Stein manifolds avoiding complete pluripolar sets

Barbara Drinovec Drnovsek
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Abstract

We prove the following theorem: Let X be a Stein manifold of dimension at least 2 and Y a closed complete pluripolar subset of X. Given a point p in the complement of Y there is a proper holomorphic map f from the unit disc to X such that f(0)=p and the image of f avoids Y.

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Barbara Drinovec Drnovsek. 2004-09-02. Proper discs in Stein manifolds avoiding complete pluripolar sets. https://arxiv.org/abs/math/0309377

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