Rational jet dependence of formal equivalences between real-analytic hypersurfaces in \C^2
Complex Variables
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0108165,
title = {Rational jet dependence of formal equivalences between real-analytic hypersurfaces in \C^2},
author = {R. Travis Kowalski},
journal= {arXiv preprint arXiv:math/0108165},
year = {2007}
}
Comments
27 pages, LaTeX2e. Some minor notational changes and typographical errors have been replaced