Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-10T23:34:19.099Z Has data issue: false hasContentIssue false

TAME DISCRETE SUBSETS IN STEIN MANIFOLDS

Published online by Cambridge University Press:  26 December 2018

JÖRG WINKELMANN*
Affiliation:
Lehrstuhl Analysis II, Mathematisches Institut, Ruhr-Universität Bochum, 44780 Bochum, Germany email joerg.winkelmann@rub.de
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Rosay and Rudin introduced the notion of ‘tameness’ for discrete subsets of $\mathbf{C}^{n}$. We generalize the notion of tameness for discrete sets to arbitrary Stein manifolds, with special emphasis on complex Lie groups.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

References

Andrist, R. and Ugolini, R., Personal communication.Google Scholar
Buzzard, G. and Lu, S., ‘Algebraic surfaces holomorphically dominable by C 2 ’, Invent. Math. 139(3) (2000), 617659.Google Scholar
Rosay, J. P. and Rudin, W., ‘Holomorphic maps from C n to C n ’, Trans. Amer. Math. Soc. 310 (1988), 4786.Google Scholar
Winkelmann, J., ‘Large discrete sets in Stein manifolds’, Math. Z. 236 (2001), 883901.Google Scholar
Winkelmann, J., ‘Tameness and growth conditions’, Doc. Math. 13 (2008), 97101.Google Scholar