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

@inproceedings{Kunte2008QuasihomogeneousLS,
title={Quasi-homogeneous Linear Systems on P 2 with Base Points of Multiplicity 6},
author={M V Kunte},
year={2008}
}

In this paper we prove the Harbourne-Hirschowitz conjecture for quasihomogeneous linear systems of multiplicity 6 on P. 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.