English

Infinite type germs of smooth hypersurfaces in $\mathbb C^n$

Complex Variables 2009-11-13 v1

Abstract

In this paper, we discuss germs of smooth hypersurface in Cn\mathbb C^n. We show that if a point on the boundary has infinite D'Angelo type, then there exists a formal complex curve in the hypersurface through that point.

Keywords

Cite

@article{arxiv.0911.2275,
  title  = {Infinite type germs of smooth hypersurfaces in $\mathbb C^n$},
  author = {John Erik Fornaess and Lina Lee and Yuan Zhang},
  journal= {arXiv preprint arXiv:0911.2275},
  year   = {2009}
}

Comments

6 pages. published in complex. Var. Elliptic. Equ.2009