Geodesic
Quasi-homogeneous linear systems on $\mathbb P^2$ with base points of multiplicity 7, 8, 9, 10
Marcin Dumnicki1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 100 (2011) no. 3, pp. 277-300.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that the Segre–Gimigliano–Harbourne–Hirschowitz conjecture holds for quasi-homogeneous linear systems on $\mathbb P^2$ for $m=7$, 8, 9, 10, i.e. systems of curves of a given degree passing through points in general position with multiplicities at least $m,\dots,m,m_0$, where $m=7$, 8, 9, 10, $m_0$ is arbitrary.
DOI : 10.4064/ap100-3-5
Keywords: prove segre gimigliano harbourne hirschowitz conjecture holds quasi homogeneous linear systems mathbb systems curves given degree passing through points general position multiplicities least dots where arbitrary

Marcin Dumnicki 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Marcin Dumnicki. Quasi-homogeneous linear systems on $\mathbb P^2$ with base
points of multiplicity 7, 8, 9, 10. Annales Polonici Mathematici, Tome 100 (2011) no. 3, pp. 277-300. doi : 10.4064/ap100-3-5. http://geodesic.mathdoc.fr/articles/10.4064/ap100-3-5/

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