English

On proper discs in complex manifolds

Complex Variables 2007-05-23 v3

Abstract

Let X be a complex manifold of dimension at least 2 which has an exhaustion function whose Levi form has at each point at least 2 positive eigenvalues. We prove that there are proper holomorphic discs in X through any given point

Keywords

Cite

@article{arxiv.math/0503449,
  title  = {On proper discs in complex manifolds},
  author = {Barbara Drinovec Drnovsek},
  journal= {arXiv preprint arXiv:math/0503449},
  year   = {2007}
}

Comments

13 pages, minor changes, to appear in Annales de l'Institut Fourier