by
Prof.Tibar Mihai-Marius(University of Lille-1, France)
→
Asia/Kolkata
AG-69 (Colaba Campus)
AG-69
Colaba Campus
Description
We initiate a classification 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.