English

CR singularities of real fourfolds in $\mathbb{C}^3$

Complex Variables 2009-04-21 v1

Abstract

CR singularities of real 4-submanifolds in complex 3-space are classified by using local holomorphic coordinate changes to transform the quadratic coefficients of the real analytic defining equation into a normal form. The quadratic coefficients determine an intersection index, which appears in global enumerative formulas for CR singularities of compact submanifolds.

Keywords

Cite

@article{arxiv.0904.2794,
  title  = {CR singularities of real fourfolds in $\mathbb{C}^3$},
  author = {Adam Coffman},
  journal= {arXiv preprint arXiv:0904.2794},
  year   = {2009}
}
R2 v1 2026-06-21T12:52:41.582Z