Special homogeneous linear systems on Hirzebruch surfaces

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.

22 pages

References in corpus (2)

• Quasi-homogeneous linear systems on P2 with base points of multiplicity 7, 8, 9, 10
• Homogeneous interpolation on ten points