English

Special homogeneous linear systems on Hirzebruch surfaces

Algebraic Geometry 2009-07-23 v1

Abstract

The Segre-Gimigliano-Harbourne-Hirschowitz Conjecture can be naturally formulated for Hirzebruch surfaces F_n. We show that this Conjecture holds for imposed base points of equal multiplicity bounded by 8.

Keywords

Cite

@article{arxiv.0907.3818,
  title  = {Special homogeneous linear systems on Hirzebruch surfaces},
  author = {Marcin Dumnicki},
  journal= {arXiv preprint arXiv:0907.3818},
  year   = {2009}
}

Comments

22 pages

R2 v1 2026-06-21T13:27:44.725Z