3 papers
math.AG2026
Zariski equisingularity of surface singularities in by a local invariant
Adam Parusiński, Laurenţiu Păunescu
We associate to every analytic surface singularity in , not necessarily isolated, an invariant and show that an analytic family of such singul…
math.AG2025
On Teissier's example of an equisingularity class that cannot be defined over the rationals
Adam Parusiński, Laurentiu Paunescu
A result of Teissier says that the cone over one of classical polygon examples in the real projective space gives, by complexification, a surface singularity which is not Whitney e…
math.AG2020
Algebro-geometric equisingularity of Zariski
Adam Parusiński
This is a survey on Zariski equisingularity. We recall its definition, main properties, and a variety of applications in Algebraic Geometry and Singularity Theory. In the first par…