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

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

2004-04-07

arxiv.org/abs/math/0404169v1

Mathematics

Algebraic Geometry

21 pages, 1 figure, LaTeX

Scientific paper

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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