Linear systems over P1xP1 with base points of multiplicity bounded by three

Details Linear systems over P1xP1 with base points of multiplicity bounded by three Linear systems over P1xP1 with base points of multiplicity bounded by three

2008-11-02

arxiv.org/abs/0811.0194v1

Mathematics

Algebraic Geometry

Scientific paper

We propose a combinatorial method of proving non-specialty of a linear system
of curves with multiple points in general positions. As an application we
obtain a classification of special linear systems on P1xP1 for which the
multiplicities do not exceed 3.

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