Normal forms for hypersurfaces of finite type in $\mathbb C^2$

Details Normal forms for hypersurfaces of finite type in $\mathbb C^2$ Normal forms for hypersurfaces of finite type in $\mathbb C^2$

2006-09-27

arxiv.org/abs/math/0609746v1

Math. Res. Lett. 12 (2005), 897-910

Mathematics

Complex Variables

Scientific paper

We construct normal forms for Levi degenerate hypersurfaces of finite type in
$\mathbb C^2$. As one consequence, an explicit solution to the problem of local
biholomorphic equivalence is obtained. Another consequence determines the
dimension of the stability group of the hypersurface.

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