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New effective bounds on the dimension of a linear system in $\mathbb P^2$

Marcin Dumnicki·Witold Jarnicki
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Abstract

The main goal of this paper is to present an algorithm bounding the dimension of a linear system of curves of given degree (or monomial basis) with multiple points in general position. As a result we prove the Hirschowitz--Harbourne Conjecture when the multiplicities of base points are bounded by 11.

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BibTeXRIS

Marcin Dumnicki, Witold Jarnicki. 2005-07-09. New effective bounds on the dimension of a linear system in $\mathbb P^2$. https://arxiv.org/abs/math/0505183

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