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arXiv · 1405.1743

Convergent normal form for real hypersurfaces at generic Levi degeneracy

Ilya Kossovskiy·Dmitri Zaitsev
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Abstract

We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface. In particular, we obtain, in the spirit of the work of Chern and Moser \cite{chern}, distinguished curves in the Levi degeneracy set, that we call \it degenerate chains.

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Ilya Kossovskiy, Dmitri Zaitsev. 2014-05-07. Convergent normal form for real hypersurfaces at generic Levi degeneracy. https://arxiv.org/abs/1405.1743

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