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Rational jet dependence of formal equivalences between real-analytic hypersurfaces in \C^2

R. Travis Kowalski
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Abstract

Let (M,p) and (M',p') be the germs of real-analytic 1-infinite type hypersurfaces in \C^2. We prove that any formal equivalence sending (M,p) into (M',p') is formally parametrized (and hence uniquely determined by) its jet at p of a predetermined order depending only on (M,p). As an application, we use this to examine the local formal transformation groups of such hypersurfaces.

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R. Travis Kowalski. 2003-02-16. Rational jet dependence of formal equivalences between real-analytic hypersurfaces in \C^2. https://arxiv.org/abs/math/0108165

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