93 citations · 180 across the 39 of their papers we have counts for
47 papers
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…
On Łojasiewicz Inequalities and the Effective Putinar's Positivstellensatz
Lorenzo Baldi, Bernard Mourrain, Adam Parusinski
The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answer…
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…
Sobolev Lifting over Invariants
Adam Parusiński, Armin Rainer
We prove lifting theorems for complex representations of finite groups . Let be a minimal system of homogeneous basic invariants and let be their max…