arXiv subjects

R. Travis Kowalski

Publications and source records attributed to R. Travis Kowalski.

2 recordsLinked to original sources

arXiv2003

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

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.

math.CV↗

arXiv2001

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

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.

math.CV↗