2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114068In the paper we develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne Conjecture holds for systems with base points of equal multiplicity bounded by 42.12 pagesAlgebraic Geometry14H50; 13P10text