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

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 ${\mathbb{C}}^2$.

Better Version. 18 pages. Accepted for publication in Adv. in Math

Cited by in corpus (2)

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