2 citations · 5 across the 6 of their papers we have counts for
7 papers
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…
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…
The Analytic Minimal Rank Sard Conjecture
A Belotto da Silva, A Parusiński, L Rifford
We obtain, under an additional assumption on the subanalytic abnormal distribution constructed in [4], a proof of the minimal rank Sard conjecture in the analytic category. It esta…
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…
Arcwise Analytic Stratification, Whitney Fibering Conjecture and Zariski Equisingularity
Adam Parusiński, Laurentiu Paunescu
In this paper we show Whitney's fibering conjecture in the real and complex, local analytic and global algebraic cases. For a given germ of complex or real analytic set, we show th…
Inverse Function Theorems for Arc-analytic Homeomorphisms
Toshizumi Fukui, Krzysztof Kurdyka, Adam Parusiński
We call a local homeomorphism blow-analytic if it becomes real analytic after composing with a finite number blowings-up with smooth nowhere dense centers. I…
Algebraically constructible functions
Clint McCrory, Adam Parusinski
An algebraic version of Kashiwara and Schapira's calculus of constructible functions is used to describe local topological properties of real algebraic sets, including Akbulut and…