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 Izv. Akad. Nauk SSSR Ser. Mat., 1982, Volume 46, Issue 4, Pages 864–880 (Mi izv1650)

Linearizability of automorphisms of non-spherical surfaces

A. V. Loboda

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.

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English version:
Mathematics of the USSR-Izvestiya, 1983, 21:1, 171–186

Bibliographic databases:

UDC: 517.5
MSC: Primary 32C05; Secondary 32F25, 53A55

Citation: A. V. Loboda, “Linearizability of automorphisms of non-spherical surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 46:4 (1982), 864–880; 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 Izv. Akad. Nauk SSSR Ser. Mat. \yr 1982 \vol 46 \issue 4 \pages 864--880 \mathnet{http://mi.mathnet.ru/izv1650} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=670169} \zmath{https://zbmath.org/?q=an:0529.32008} \transl \jour Math. USSR-Izv. \yr 1983 \vol 21 \issue 1 \pages 171--186 \crossref{https://doi.org/10.1070/IM1983v021n01ABEH001650} 

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This publication is cited in the following articles:
1. V. V. Ezhov, “On the linearization of automorphisms of a real analytic hypersurface”, Math. USSR-Izv., 27:1 (1986), 53–84
2. A. V. Loboda, “Some invariants of tubular hypersurfaces in $\mathbb C^2$”, Math. Notes, 59:2 (1996), 148–157
3. A. V. Loboda, “Local Description of Homogeneous Real Hypersurfaces of the Two-Dimensional Complex Space in Terms of Their Normal Equations”, Funct. Anal. Appl., 34:2 (2000), 106–113
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