Puiseux coefficients and parametric deformation of plane curve singularities

Details Puiseux coefficients and parametric deformation of plane curve singularities Puiseux coefficients and parametric deformation of plane curve singularities

2009-09-24

arxiv.org/abs/0909.4469v3

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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