Quasi-Homogeneous Linear Systems on P^2 with Base Points of Multiplicity 6
Abstract
Description
In 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, LaTeX
21 pages, 1 figure, LaTeX