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

Martin Kolar

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

Martin Kolar

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Abstract

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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Martin Kolar. 2006-09-27. Normal forms for hypersurfaces of finite type in $\mathbb C^2$. https://arxiv.org/abs/math/0609746

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