English

Proper holomorphic disks in the complement of varieties in \C^2

Complex Variables 2007-07-25 v1

Abstract

For any closed analytic set X in C^2 there exists a proper holomorphic embedding of the unit disk into C^2 such that the image avoids X.

Keywords

Cite

@article{arxiv.0707.3521,
  title  = {Proper holomorphic disks in the complement of varieties in \C^2},
  author = {Stefan Borell and Frank Kutzschebauch and Erlend Fornaess Wold},
  journal= {arXiv preprint arXiv:0707.3521},
  year   = {2007}
}