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

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

2008-04-08

arxiv.org/abs/0804.1213v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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.

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