4 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.CV2026
Bi-Lipschitz invariance of Newton polygons along gradient canyons
Piotr Migus, Laurenţiu Păunescu, Mihai Tibăr
We study bi-Lipschitz right-equivalence of holomorphic function germs via polar arcs and gradient canyons. For a polar arc we consider the…
math.CV2025
On higher Lipschitz invariants
Piotr Migus, Laurenţiu Păunescu, Mihai Tibăr
We find new bi-Lipschitz invariants for functions of two complex variables.
math.AT2004
Closed manifolds coming from Artinian complete intersections
Ştefan Papadima, Laurenţiu Păunescu
We reformulate the integrality property of the Poincaré inner product in the middle dimension, for an arbitrary Poincaré $\Q$-algebra, in classical terms (discriminant and local in…