Stein Spaces Characterized by their Endomorphisms

Mathematics – Complex Variables

Scientific paper

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15 pages; additional references in the introduction; corrected typos

Scientific paper

10.1090/S0002-9947-2010-05104-9

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.

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