Puiseux coefficients and parametric deformation of plane curve singularities

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.

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

References in corpus (2)

• Deformations of singularities of plane curves. Topological approach
• An efficient method of finding a Puiseux expansion of a parametric singularity

Cited by in corpus (2)

• Semigroups, d-invariants and deformations of cuspidal singular points of plane curves
• An efficient method of finding a Puiseux expansion of a parametric singularity