Proper discs in Stein manifolds avoiding complete pluripolar sets
Complex Variables
2007-05-23 v2
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.
Cite
@article{arxiv.math/0309377,
title = {Proper discs in Stein manifolds avoiding complete pluripolar sets},
author = {Barbara Drinovec Drnovsek},
journal= {arXiv preprint arXiv:math/0309377},
year = {2007}
}
Comments
8 pages, to appear in Math. Res. Lett., minor corrections, a reference added