3 papers
math.DG2025
Abnormal Singular Foliations and the Sard Conjecture for generic co-rank one distributions
A Belotto da Silva, A ParusiÅski, L Rifford
Given a smooth totally nonholonomic distribution on a smooth manifold, we construct a singular distribution capturing essential abnormal lifts which is locally generated by vector…
math.AG2024
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…
math.AC2024
On Åojasiewicz 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…