Rational Jet Dependence of Formal Equivalences between Real-analytic Hypersurfaces in C
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چکیده
Let (M, p) and (M̂, p̂) be the germs of real-analytic 1-infinite type hypersurfaces in C. We prove that any formal equivalence sending (M, p) into (M̂ , p̂) 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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تاریخ انتشار 2001