English

Number of singular points of an annulus in $\mathbb{C}^2$

Algebraic Geometry 2010-05-07 v1

Abstract

Using Bogomolov-Miyaoka-Yau inequality and a Milnor number bound we prove that any algebraic annulus C\mathbb{C}^* in C2\mathbb{C}^2 with no self-intersections can have at most three cuspidal singularities.

Keywords

Cite

@article{arxiv.1005.0980,
  title  = {Number of singular points of an annulus in $\mathbb{C}^2$},
  author = {Maciej Borodzik and Henryk Zoladek},
  journal= {arXiv preprint arXiv:1005.0980},
  year   = {2010}
}

Comments

15 pages, to appear in Ann. Inst. Fourier