63 citations · 205 across the 40 of their papers we have counts for
5 papers · 1 filter
An efficient method of finding a Puiseux expansion of a parametric singularity
Maciej Borodzik
We provide a very effective and explicit algorithm of finding a Puiseux expansion of a cuspidal singularity of a plane curve, when this singularity is given in a parametric form.
Puiseux coefficients and parametric deformation of plane curve singularities
Maciej Borodzik
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 coeffic…
Number of singular points of a genus curve with one point at infinity
Maciej Borodzik
We bound the maximal number N of singular points of a plane algebraic curve C that has precisely one place at infinity with one branch in terms of its first Betti number .…
Deformations of singularities of plane curves. Topological approach
Maciej Borodzik
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 singularit…
A rho-invariant of iterated torus knots
Maciej Borodzik
We compute rho-invariant for iterated torus knots for the standard representation of the knot group given by abelianisation. For algebraic knots, this invariant turns out to be…