Marcin Dumnicki
Published 2008-04-08Version 1
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.
Quasi-Homogeneous Linear Systems on P^2 with Base Points of Multiplicity 6
Quasi-homogeneous linear systems on $\mathbb{P}^2$ with base points of multiplicity 5
Linear systems in $\mathbb{P}^2$ with base points of bounded multiplicity
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