10 citations · 26 across the 25 of their papers we have counts for
28 papers
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 Lipschitz type of the Geometric Directional Bundle
Satoshi Koike, Laurentiu Paunescu
In this paper we investigate the behaviour of the geometric directional bundles, associated to arbitrary subsets in R^n, under bi-Lipschitz homeomorphisms, and give conditions unde…
On finiteness theorems of polynomial functions
Satoshi Koike, Laurentiu Paunescu
Let d be a positive integer. We show a finiteness theorem for semialgebraic RL triviality of a Nash family of Nash functions defined on a Nash manifold, generalising Benedetti-Shio…
Stabilisation of geometric directional bundle for a subanalytic set
Satoshi Koike, Laurentiu Paunescu
In a previous paper we have introduced the notion of geometric directional bundle of a singular space, in order to introduce global bi-Lipschitz invariants. Then we have posed the…
Zariski's dimensionality type of singularities. case of dimensionality type 2
Adam Parusinski, Laurentiu Paunescu
In the 1970s O. Zariski introduced a general theory of equisingularity for algebroid and algebraic hypersurfaces over an algebraically closed field of characteristic zero. His theo…
The vanishing cohomology of non-isolated hypersurface singularities
Laurenţiu Maxim, Laurenţiu Păunescu, Mihai Tibăr
We employ the perverse vanishing cycles to show that each reduced cohomology group of the Milnor fiber, except the top two, can be computed from the restriction of the vanishing cy…