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

Michael Kunte
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Abstract

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.

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Michael Kunte. 2004-04-07. Quasi-Homogeneous Linear Systems on P^2 with Base Points of Multiplicity 6. https://arxiv.org/abs/math/0404169

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