2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158313In 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 pagesAlgebraic GeometryCommutative Algebra14H50; 13P10text