English

Regular versus singular order of contact on pseudoconvex hypersurfaces

Complex Variables 2019-11-15 v1

Abstract

The singular and regular type of a point on a real hypersurface H\mathcal H in Cn\mathbb C^n are shown to agree when the regular type is strictly less than 4. If H\mathcal H is pseudoconvex, we show they agree when the regular type is 4. A non-pseudoconvex example is given where the regular type is 4 and the singular type is infinite.

Keywords

Cite

@article{arxiv.1708.02673,
  title  = {Regular versus singular order of contact on pseudoconvex hypersurfaces},
  author = {Jeffery D. McNeal and Luka Mernik},
  journal= {arXiv preprint arXiv:1708.02673},
  year   = {2019}
}
R2 v1 2026-06-22T21:10:02.805Z