This article is cited in 6 papers

On the linearization of automorphisms of a real analytic hypersurface

V. V. Ezhov


Abstract: It is proved that relative to certain normal coordinates any local automorphism of a nonspherical real-analytic hypersurface in $\mathbf C^3$ is a fractional-linear transformation. For a hypersurface in $\mathbf C^n$ a system of normal coordinates is constructed relative to which the entire stability group consists only of fractional-linear transformations.
Bibliography: 13 titles.

UDC: 517.5

MSC: 32F25

Received: 26.11.1984

 English version: Mathematics of the USSR-Izvestiya, 1986, 27:1, 53–84

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