English

Simple singularities of multigerms of curves

Algebraic Geometry 2012-03-06 v1

Abstract

We classify stably simple reducible curve singularities in complex spaces of any dimension. This extends the same classification of of irreducible curve singularities obtained by V.I.Arnold. The proof is essentially based on the method of complete transversals by J.W.Bruce et al.

Keywords

Cite

@article{arxiv.math/0012040,
  title  = {Simple singularities of multigerms of curves},
  author = {Pavel A. Kolgushkin and Rustam R. Sadykov},
  journal= {arXiv preprint arXiv:math/0012040},
  year   = {2012}
}

Comments

18 pages