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arXiv · 1110.1118

A normal form for a real 2-codimensional submanifold in $\mathbb{C}^{N+1}$ near a CR singularity

Valentin Burcea
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Abstract

We construct a formal normal form for a real 2-codimensional submanifold $M\subset\mathbb{C}^{N+1}$ near a CR singularity approximating the sphere. This result gives a higher dimensional extension of Huang-Yin's normal form in $\mathbb{C}^{2}$.

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Valentin Burcea. 2011-10-05. A normal form for a real 2-codimensional submanifold in $\mathbb{C}^{N+1}$ near a CR singularity. https://arxiv.org/abs/1110.1118

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