2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66973Let $(S,0)$ be a rational complex surface singularity with reduced fundamental cycle, also known as a {\em minimal} singularity. Using a fundamental result by M. Spivakovsky, we explain how to get a minimal resolution of the discriminant curve for a generic projection of $(S,0)$ onto $(\C^2,0)$ directly from the resolution graph of $(S,0)$.February 2003. Submitted to CRASAlgebraic Geometry14J17,32S25,14H20,32S25text