Speaker: Mihai-Marius Tibar
Date: November 03, 2011
Affiliation: University of Lille-1, France

Abstract: We initiate a classifcation of polynomial functions $f: \mathbb C^n \to \mathbb C$ of degree $d$ having the top Betti number of the general fibre close to the maximum. We find a range in which the polynomial must have isolated singularities and another range where it may have at most one line singularity of Morse transversal type. Our method uses deformations into particular pencils with non-isolated singularities. This is a joint work with Dirk Siersma.