English

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

Complex Variables 2017-09-19 v6 Differential Geometry

Abstract

We construct a formal normal form for a real 2-codimensional submanifold MCN+1M\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 C2\mathbb{C}^{2}.

Keywords

Cite

@article{arxiv.1110.1118,
  title  = {A normal form for a real 2-codimensional submanifold in $\mathbb{C}^{N+1}$ near a CR singularity},
  author = {Valentin Burcea},
  journal= {arXiv preprint arXiv:1110.1118},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-21T19:15:48.166Z