arXiv Analytics

Sign in

arXiv:math/0404169 [math.AG]AbstractReferencesReviewsResources

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

Michael Kunte

Published 2004-04-07Version 1

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.

Comments: 21 pages, 1 figure, LaTeX
Categories: math.AG
Subjects: 14C20, 14J17
Related articles: Most relevant | Search more
arXiv:0804.1213 [math.AG] (Published 2008-04-08)
Quasi-homogeneous linear systems on P2 with base points of multiplicity 7, 8, 9, 10
arXiv:math/0205270 [math.AG] (Published 2002-05-26)
Quasi-homogeneous linear systems on $\mathbb{P}^2$ with base points of multiplicity 5
arXiv:1410.8065 [math.AG] (Published 2014-10-29)
On linear systems of P^3 with nine base points

Links

Toolbox