English

Stein spaces and Stein algebras

Complex Variables 2026-03-03 v2

Abstract

We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and C\mathbb{C}-algebra morphisms. This removes a finite dimensionality hypothesis from a theorem of Forster.

Keywords

Cite

@article{arxiv.2410.05521,
  title  = {Stein spaces and Stein algebras},
  author = {Olivier Benoist},
  journal= {arXiv preprint arXiv:2410.05521},
  year   = {2026}
}

Comments

6 pages, final version

R2 v1 2026-06-28T19:12:11.650Z