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

Published 5 Oct 2011 in math.CV and math.DG | (1110.1118v6)

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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