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Mathematics of the USSR-Izvestiya, 1983, Volume 21, Issue 1, Pages 171–186
DOI: https://doi.org/10.1070/IM1983v021n01ABEH001650 (Mi im1650) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Linearizability of automorphisms of non-spherical surfaces

A. V. Loboda
English version PDF (697 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM1983v021n01ABEH001650
Abstract: In this paper local automorphisms of real analytic hypersurfaces in complex spaces are studied. It is proved that for a strictly pseudoconvex hypersurface not biholomorphically equivalent to a sphere every local automorphism is a linear mapping in special coordinates. The equation of the surface has the Moser normal form in these coordinates.
Bibliography: 8 titles.
Received: 22.02.1981
Bibliographic databases:
UDC: 517.5
MSC: Primary 32C05; Secondary 32F25, 53A55
Language: English
Original paper language: Russian
Citation: A. V. Loboda, “Linearizability of automorphisms of non-spherical surfaces”, Math. USSR-Izv., 21:1 (1983), 171–186
Citation in format AMSBIB
\Bibitem{Lob82}
\by A.~V.~Loboda
\paper Linearizability of automorphisms of non-spherical surfaces
\jour Math. USSR-Izv.
\yr 1983
\vol 21
\issue 1
\pages 171--186
\mathnet{http://mi.mathnet.ru//eng/im1650}
\crossref{https://doi.org/10.1070/IM1983v021n01ABEH001650}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=670169}
\zmath{https://zbmath.org/?q=an:0529.32008}
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  • https://www.mathnet.ru/eng/im/v46/i4/p864
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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