2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63286We 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.15 pages, one figureAlgebraic GeometryComplex Variables14F35, 32S25, 32S40, 14J70, 32S55, 32S20, 55P99Homotopy groups of complements and non-isolated singularitiestext