English

Complex curves in pseudoconvex Runge domains containing discrete subsets

Complex Variables 2018-01-08 v2 Differential Geometry

Abstract

For any pseudoconvex Runge domain ΩC2\Omega\subset\mathbb{C}^2 we prove that every closed discrete subset in Ω\Omega is contained in a properly embedded complex curve in Ω\Omega with any prescribed topology (possibly infinite).

Keywords

Cite

@article{arxiv.1703.08948,
  title  = {Complex curves in pseudoconvex Runge domains containing discrete subsets},
  author = {Antonio Alarcon},
  journal= {arXiv preprint arXiv:1703.08948},
  year   = {2018}
}
R2 v1 2026-06-22T18:57:30.715Z