This article is cited in 3 papers

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.

UDC: 517.5

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

Received: 22.02.1981

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

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