Stein Spaces Characterized by their Endomorphisms

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.

15 pages; additional references in the introduction; corrected typos

References in corpus (1)

• Criteria for the density property of complex manifolds

Cited by in corpus (3)

• The first thirty years of Andersen-Lempert theory
• Manifolds with infinite dimensional group of holomorphic automorphisms and the Linearization Problem
• Riemann surfaces in Stein manifolds with density property