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

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

2001-08-24

arxiv.org/abs/math/0108165v2

Mathematics

Complex Variables

27 pages, LaTeX2e. Some minor notational changes and typographical errors have been replaced

Scientific paper

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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