Stein spaces characterized by their endomorphisms

Author:

Andrist Rafael

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference31 articles.

1. On rings of analytic functions;Bers, Lipman;Bull. Amer. Math. Soc.,1948

2. On rings of analytic functions on Riemann surfaces;Nakai, Mitsuru;Proc. Japan Acad.,1963

3. On the meromorphic function field of a Stein variety;Iss’sa, Hej;Ann. of Math. (2),1966

4. Characterization of the unit ball in 𝐂ⁿ among complex manifolds of dimension 𝐧;Isaev, A. V.;J. Geom. Anal.,2004

5. Erratum to: “Characterization of the unit ball in 𝐂ⁿ among complex manifolds of dimension 𝐧” [J. Geom. Anal. 14 (2004), no. 4, 697–700; MR2111424];Isaev, A. V.;J. Geom. Anal.,2008

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