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Izvestiya: Mathematics, 2001, Volume 65, Issue 4, Pages 641–657
DOI: https://doi.org/10.1070/IM2001v065n04ABEH000344 (Mi im344) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Polynomial models of real manifolds

V. K. Beloshapka

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (195 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM2001v065n04ABEH000344
Abstract: We construct polynomial models for germs of real submanifolds in complex space. It was shown earlier that the properties of models of degree 3 (for appropriate values of the codimension) are similar to well-known properties of tangent quadrics. In this paper we construct models of arbitrarily high degree. They have all these properties with one exception: from degree 5 onwards, they are not completely universal.
Received: 13.02.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 4, Pages 3–20
DOI: https://doi.org/10.4213/im344
Bibliographic databases:
MSC: 32V99
Language: English
Original paper language: Russian
Citation: V. K. Beloshapka, “Polynomial models of real manifolds”, Izv. RAN. Ser. Mat., 65:4 (2001), 3–20; Izv. Math., 65:4 (2001), 641–657
Citation in format AMSBIB
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\by V.~K.~Beloshapka
\paper Polynomial models of real manifolds
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 4
\pages 3--20
\mathnet{http://mi.mathnet.ru/im344}
\crossref{https://doi.org/10.4213/im344}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857707}
\zmath{https://zbmath.org/?q=an:1026.32067}
\elib{https://elibrary.ru/item.asp?id=13829392}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 4
\pages 641--657
\crossref{https://doi.org/10.1070/IM2001v065n04ABEH000344}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0009935359}
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  • https://doi.org/10.1070/IM2001v065n04ABEH000344
  • https://www.mathnet.ru/eng/im/v65/i4/p3
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:664
    Russian version PDF:227
    English version PDF:19
    References:88
    First page:1
     
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