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Linear systems over ℙ¹×ℙ¹ with base points of multiplicity bounded by three

Tomasz Lenarcik — 2011

Annales Polonici Mathematici

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 ℙ¹×ℙ¹ with multiplicities not exceeding 3.

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