Loading Web-Font TeX/Main/Regular
| Register
\newcommand{\Cat}{{\rm Cat}} \newcommand{\A}{\mathcal A} \newcommand{\freestar}{ \framebox[7pt]{$\star$} }

5. Normal Forms

    1. Problem 5.1.

      [Zaitsev] Let C be a class of hypersurfaces defined by a finite order condition. A normal form is a subclass C_0 where normal representatives are determined up to a finite dimensional group. For example, for Levi non-degenerate hypersurfaces there is the Chern-Moser normal form and for finite type hypersurfaces in \mathbb{C}^2 Kollar presented a normal form. Can you find a class where it can be proved that there is no convergent normal form?

          Cite this as: AimPL: Cauchy-Riemann equations in several variables, available at http://aimpl.org/crscv.