English

Pseudoconvexity is a two-dimensional phenomenon

Complex Variables 2009-07-10 v1

Abstract

An open set in C^n is pseudoconvex if and only if its intersection with every affine subspace of complex dimension two as seen as an open set in C^2 is pseudoconvex.

Keywords

Cite

@article{arxiv.0907.1304,
  title  = {Pseudoconvexity is a two-dimensional phenomenon},
  author = {Robert Jacobson},
  journal= {arXiv preprint arXiv:0907.1304},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-06-21T13:22:38.705Z