2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64178We extend the range of linear systems of plane curves for which it is known that the dimension is equal to the expected dimension. We use a degeneration technique due to C. Ciliberto and R. Miranda. From our result we deduce, as a Corollary, a theorem due to Evain on homogeneous systems of curves through a number of base points given by a power of 4.15 pagesAlgebraic Geometrytext