Rational jet dependence of formal equivalences between real-analytic hypersurfaces in \C^2
Abstract
Description
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.
27 pages, LaTeX2e. Some minor notational changes and typographical errors have been replaced
27 pages, LaTeX2e. Some minor notational changes and typographical errors have been replaced