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arxiv: math/0609746 · v1 · submitted 2006-09-27 · 🧮 math.CV

Normal forms for hypersurfaces of finite type in mathbb C²

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keywords consequencefiniteformshypersurfacesmathbbnormaltypeanother
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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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