Quasi-Homogeneous Linear Systems on P^2 with Base Points of Multiplicity 6

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70796In this paper we prove the Harbourne-Hirschowitz conjecture for quasi-homogeneous linear systems of multiplicity 6 on P^2. For the proof we use the degeneration of the plane by Ciliberto and Miranda and results by Laface, Seibert, Ugaglia and Yang. As an application we derive a classification of the special systems of multiplicity 6.21 pages, 1 figure, LaTeXAlgebraic Geometry14C20; 14J17Quasi-Homogeneous Linear Systems on P^2 with Base Points of Multiplicity 6text