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An interpolation theorem for proper holomorphic embeddings
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2005 (English)Report (Other academic)
Abstract [en]

Given a Stein manifold X of dimension n>1, a discrete sequence a_j in X, and a discrete sequence b_j in C^m where m > [3n/2], there exists a proper holomorphic embedding of X into C^m which sends a_j to b_j for every j=1,2,.... This is the interpolation version of the embedding theorem due to Eliashberg, Gromov and Schurmann. The dimension m cannot be lowered in general due to an example of Forster.

Place, publisher, year, edition, pages
2005.
Series
Erwin Schroedinger Institut, preprint, 1735
Keyword [en]
Stein spaces
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-5824Local ID: 3494OAI: oai:DiVA.org:miun-5824DiVA: diva2:30857
Note
arXiv:math/0511122v3Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2009-09-15Bibliographically approved

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Other links

http://arxiv.org/abs/math/0511122

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CiteExportLink to record
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Citation style
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