English

On complex points of codimension 2 submanifolds

Complex Variables 2015-02-24 v1

Abstract

In this paper we study the structure of complex points of codimension 2 real submanifolds in complex nn dimensional manifolds. We show that the local structure of a complex point up to isotopy only depends on their type (either elliptic or hyperbolic). We also show that any such submanifold can be smoothly isotoped into a submanifold that has 2-strictly pseudoconvex neighborhood basis.

Keywords

Cite

@article{arxiv.1312.2262,
  title  = {On complex points of codimension 2 submanifolds},
  author = {Marko Slapar},
  journal= {arXiv preprint arXiv:1312.2262},
  year   = {2015}
}
R2 v1 2026-06-22T02:23:19.820Z