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

2008/04/08 by Dumnicki, Marcin · 1 citation
#13P10 #14H50 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.1213

Abstract

In the paper we prove Harbourne-Hirschowitz conjecture for quasi-homogeneous linear systems on \mathbb P² 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,m₀, where m=7, 8, 9, 10, m₀ is arbitrary.

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