Proper discs in Stein manifolds avoiding complete pluripolar sets

Details Proper discs in Stein manifolds avoiding complete pluripolar sets Proper discs in Stein manifolds avoiding complete pluripolar sets

2003-09-23

arxiv.org/abs/math/0309377v2

Mathematics

Complex Variables

8 pages, to appear in Math. Res. Lett., minor corrections, a reference added

Scientific paper

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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