Linear systems over $\mathbb P^1\times\mathbb P^1$ with base points of multiplicity bounded by three
Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 105-122.

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

We propose a combinatorial method of proving non-specialty of a linear system of curves with multiple points in general position. As an application, we obtain a classification of special linear systems on ${\mathbb P}^1\times{\mathbb P}^1$ with multiplicities not exceeding $3$.
DOI : 10.4064/ap101-2-1
Keywords: propose combinatorial method proving non specialty linear system curves multiple points general position application obtain classification special linear systems mathbb times mathbb multiplicities exceeding

Tomasz Lenarcik 1

1 Institute of Mathematics Jagiellonian University 30-348 Kraków, Poland
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Tomasz Lenarcik. Linear systems over $\mathbb P^1\times\mathbb P^1$ with base
points of multiplicity bounded by three. Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 105-122. doi : 10.4064/ap101-2-1. http://geodesic.mathdoc.fr/articles/10.4064/ap101-2-1/

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