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

Michael Kunte

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

代数几何 2007-05-23 v1

作者: Michael Kunte

摘要

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.

引用

@article{arxiv.math/0404169,
  title  = {Quasi-Homogeneous Linear Systems on P^2 with Base Points of Multiplicity 6},
  author = {Michael Kunte},
  journal= {arXiv preprint arXiv:math/0404169},
  year   = {2007}
}

备注

21 pages, 1 figure, LaTeX

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