2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150020We formulate and prove a weighted version of Zariski's hyperplane section theorem on the topological fundamental groups of the complements of hypersurfaces in a projective space. As an application, we calculate fundamental groups of the complements of certain singular projective plane curves.Plain TeXAlgebraic Geometry14H30A weighted version of Zariski's hyperplane section theorem and fundamental groups of complements of plane curvestext