2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66129In this note we prove a decomposition related to the affine fundamental group and the projective fundamental group of a line arrangement and a reducible curve with a line component. We give some applications to this result.10 pages, 6 figures; submitted for publication; Some results have been strengthenedGeometric TopologyAlgebraic TopologyOn the connection between affine and projective fundamental groups of line arrangements and curvestext