A hypersurface in \C^2 whose stability group is not determined by 2-jets

Details A hypersurface in \C^2 whose stability group is not determined by 2-jets A hypersurface in \C^2 whose stability group is not determined by 2-jets

2001-07-24

arxiv.org/abs/math/0107170v1

Mathematics

Complex Variables

8 pages, LaTeX2e

Scientific paper

We give an example of a hypersurface in \C^2 through 0 whose stability group
at 0 is determined by 3-jets, but not by jets of any lesser order. We also
examine some of the properties which the stability group of this infinite type
hypersurface shares with the 3-sphere in \C^2.

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