Quasi-Homogeneous Linear Systems on P² with Base Points of Multiplicity 6

2004/04/07 by Michael Kunte, Kunte, Michael
Mathematics · #14C20 #14J17 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14C20 #msc:14J17

paper · pdf · doi:10.48550/arxiv.math/0404169

21 pages, 1 figure, LaTeX

arxiv created 2004/04/07 · openalex publication_date 2004/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the Harbourne-Hirschowitz conjecture for quasi-homogeneous linear systems of multiplicity 6 on P². 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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