93 citations · 180 across the 39 of their papers we have counts for
28 papers · 1 filter
ON THE DISTANCE TO DISCRIMINANTS AND OSCULATING VARIETIES
Khazhgali Kozhasov, Bernard Mourrain, Adam Parusi{ń}ski
We study the problem of finding the closest singular hypersurface to a given nonsingular one from algebro-geometric point of view. The set of singular hypersurfaces of a given…
Motivic, logarithmic, and topological Milnor fibrations
Jean-Baptiste Campesato, Goulwen Fichou, Adam Parusinski
We compare the topological Milnor fibration and the motivic Milnor fibre of a regular complex function with only normal crossing singularities by introducing their common extension…
Initial Newton polynomial of the discriminant
Beata Gryszka, Janusz Gwoździewicz, Adam Parusiński
Let be a holomorphic mapping with an isolated zero. We show that the initial Newton polynomial of its discriminant is…
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…
Lipschitz Stratification of Complex Hypersurfaces in Codimension 2
Adam Parusinski, Laurentiu Paunescu
We show that the Zariski canonical stratification of complex hypersurfaces is locally bi-Lipschitz trivial along the strata of codimension two. More precisely, we study Zariski equ…
Real intersection homology II: A local duality obstruction
Clint McCrory, Adam Parusinski
We show that the intersection pairing on our real intersection homology groups is not a dual pairing in general.