English

Stein Spaces Characterized by their Endomorphisms

Complex Variables 2011-06-23 v2

Abstract

Finite dimensional Stein spaces admitting a proper holomorphic embedding of the complex line are characterized, among all complex spaces, by their holomorphic endomorphism semigroup in the sense that any semigroup isomorphism induces either a biholomorphic or an antibiholomorphic map between them.

Keywords

Cite

@article{arxiv.0809.3919,
  title  = {Stein Spaces Characterized by their Endomorphisms},
  author = {Rafael B. Andrist},
  journal= {arXiv preprint arXiv:0809.3919},
  year   = {2011}
}

Comments

15 pages; additional references in the introduction; corrected typos

R2 v1 2026-06-21T11:23:12.784Z