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# Quasi-Homogeneous Linear Systems on $\mathbb{P}^2$ with Base Points of Multiplicity $5$

Published:2003-06-01
Printed: Jun 2003
• Antonio Laface
• Luca Ugaglia
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## Abstract

In this paper we consider linear systems of $\mathbb{P}^2$ with all but one of the base points of multiplicity $5$. We give an explicit way to evaluate the dimensions of such systems.
 MSC Classifications: 14C20 - Divisors, linear systems, invertible sheaves 14N05 - Projective techniques [See also 51N35]

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