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

Abstract

In the paper we prove Harbourne-Hirschowitz conjecture for quasi-homogeneous linear systems on ${\mathbb{P}}^2$ for $m=7$, 8, 9, 10, i.e. systems of curves of given degree passing through points in general position with multiplicities at least $m,...,m,m_0$, where $m=7$, 8, 9, 10, $m_0$ is arbitrary.

13 pages

References in corpus (1)

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

Cited by in corpus (1)

• Special homogeneous linear systems on Hirzebruch surfaces