Linear systems over $\mathbb P^1\times\mathbb P^1$ with base points of multiplicity bounded by three
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 105-122
MSC: Primary 14H50; Secondary 14Q05.
DOI: 10.4064/ap101-2-1
Abstract
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 $3$.
