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Criteria for the density property of complex manifolds
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2006 (English)Report (Other academic)
Abstract [en]

In this paper we suggest new effective criteria for the density property. This enables us to give a trivial proof of the original Anders\'en-Lempert result and to establish (almost free of charge) the algebraic density property for all linear algebraic groups whose connected components are different from tori or $\C_+$. As another application of this approach we tackle the question (asked among others by F. Forstneri\v{c}) about the density of algebraic vector fields on Euclidean space vanishing on a codimension 2 subvariety.

Place, publisher, year, edition, pages
Bonn: Max-Planck inst , 2006. , 11 p.
Series
Preprints of the Max-Planck-Institut für Mathematik, 2006-89
Keyword [en]
density property
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-5895Local ID: 4376OAI: oai:DiVA.org:miun-5895DiVA: diva2:30928
Note
arXiv:0710.3864v1 To appear in Invent MathAvailable from: 2008-09-30 Created: 2009-09-15Bibliographically approved

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Other links

http://arxiv.org/abs/0710.3864

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Kutzschebauch, Frank
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CiteExportLink to record
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Citation style
  • apa
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