Homotopy groups of complements and non-isolated singularities

Anatoly Libgober, Mihai Tibar

Published 2002-02-06Version 1

We obtain sufficient conditions for the vanishing of higher homotopy groups of the complements to hypersurfaces in ${\mathbb C}^n$ in terms of the behavior at infinity and relate the monodromy of non isolated singularities to the position of singularities in generic plane sections.