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Matematicheskie Zametki, 1996, Volume 59, Issue 2, Pages 211–223
DOI: https://doi.org/10.4213/mzm1708 (Mi mzm1708) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Some invariants of tubular hypersurfaces in $\mathbb C^2$

A. V. Loboda

Voronezh State Academy of Building and Architecture
Full-text PDF (200 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm1708
Abstract: Holomorphic invariants of tubular hypersurfaces (tubes) over plane analytic curves are treated. Nonspherical Levi nondegenerate tubes over affine homogeneous curves are studied. Such surfaces are shown to be holomorphically equivalent if and only if they are affinely equivalent. Two problems concerning the description of locally specified homogeneous hypersurfaces in $\mathbb C^2$ are posed. The construction of the invariants is based on the reduction of the equation of a tubular hypersurface to Moser normal form. Some properties of this reduction are discussed.
Received: 25.01.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 2, Pages 148–157
DOI: https://doi.org/10.1007/BF02310954
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: A. V. Loboda, “Some invariants of tubular hypersurfaces in $\mathbb C^2$”, Mat. Zametki, 59:2 (1996), 211–223; Math. Notes, 59:2 (1996), 148–157
Citation in format AMSBIB
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\by A.~V.~Loboda
\paper Some invariants of tubular hypersurfaces in $\mathbb C^2$
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 2
\pages 211--223
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 2
\pages 148--157
\crossref{https://doi.org/10.1007/BF02310954}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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