Deformations of singularities of plane curves. Topological approach

Maciej Borodzik

Deformations of singularities of plane curves. Topological approach

Algebraic Geometry 2009-09-24 v3 Geometric Topology

Authors: Maciej Borodzik

Abstract

We use a knot invariant, namely the Tristram--Levine signature to study deformations of singular points of plane curves. We find a bound on the sum of M numbers over all singularities of a generic fiber in terms of the M number of the singularity at the central fiber and some topological data.

Keywords

plane curves singularities deformations tristram-levine signature knot invariant m number

Cite

@article{arxiv.0907.4129,
  title  = {Deformations of singularities of plane curves. Topological approach},
  author = {Maciej Borodzik},
  journal= {arXiv preprint arXiv:0907.4129},
  year   = {2009}
}