English

Some properties of C* in C^2

Algebraic Geometry 2012-02-22 v1

Abstract

We consider plane curves isomorphic to C*. We prove that with one exception the branches at infinity can be separated by an automorphism of C^2. We also give a bound for selfintersection number of the resolution curve.

Keywords

Cite

@article{arxiv.1202.4738,
  title  = {Some properties of C* in C^2},
  author = {Mariusz Koras and Peter Russell},
  journal= {arXiv preprint arXiv:1202.4738},
  year   = {2012}
}

Comments

23 pages

R2 v1 2026-06-21T20:23:04.383Z