Stein spaces characterized by their endomorphisms
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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.References
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Additional Information
- Rafael B. Andrist
- Affiliation: Mathematisches Institut, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
- MR Author ID: 773325
- Email: rafael.andrist@math.unibe.ch
- Received by editor(s): September 23, 2008
- Published electronically: November 23, 2010
- Additional Notes: This work was partially supported by Schweizerischer Nationalfonds grant no. 200021-116165
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 2341-2355
- MSC (2000): Primary 32E10, 32M10; Secondary 20M20, 54H15
- DOI: https://doi.org/10.1090/S0002-9947-2010-05104-9
- MathSciNet review: 2763719