English

Puiseux coefficients and parametric deformation of plane curve singularities

Algebraic Geometry 2012-03-20 v3

Abstract

We study deformations of plane curve singularities from an analytic point of view and obtain some new concrete results. We show some rather unexpected properties of Puiseux coefficients treated as functions on a suitably defined parameter space. The methods used in paper are very elementary.

Keywords

Cite

@article{arxiv.0909.4469,
  title  = {Puiseux coefficients and parametric deformation of plane curve singularities},
  author = {Maciej Borodzik},
  journal= {arXiv preprint arXiv:0909.4469},
  year   = {2012}
}

Comments

32 pages. Completely rewritten version. The mathematical contents is the same, but the readability is improved