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

Mathematics – Complex Variables

Scientific paper

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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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