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The density property for hypersurfaces uv=p(x)
kaliman@math.miami.edu.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2006 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, Vol. 258, no 1, 115-131 p.Article in journal (Refereed) Published
Abstract [en]

We study hypersurfaces of Cn+2 ¯x,u,v given by equations of form uv = p( ¯x) where the zero locus of a polynomial p is smooth reduced. The main result says that the Lie algebra generated by algebraic completely integrable vector fields on such a hypersurface coincides with the Lie algebra of all algebraic vector fields. Consequences of this result for some conjectures of affine algebraic geometry and for the Oka-Grauert-Gromov principle are discussed.

Place, publisher, year, edition, pages
2006. Vol. 258, no 1, 115-131 p.
Series
Max-Planck-Institut Preprint Series 2006 (90)
Keyword [en]
density property
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-5894DOI: 10.1007/s00209-007-0162-zLocal ID: 4375OAI: oai:DiVA.org:miun-5894DiVA: diva2:30927
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-01-10Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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