Deformations of polynomials, boundary singularities and monodromy

Dirk Siersma , Mihai Tibar (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

We study the topology of polynomial functions by deforming them generically. We explain how the non-conservation of the total ``quantity'' of singularity in the neighbourhood of infinity is related to the variation of topology in certain families of boundary singularities along the hyperplane at infinity.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Dirk Siersma, Mihai Tibar. Deformations of polynomials, boundary singularities and monodromy. Moscow Mathematical Journal, 2003, 3, pp.661-679. ⟨hal-00117643⟩