English

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

Algebraic Geometry 2008-11-04 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0811.0194,
  title  = {Linear systems over P1xP1 with base points of multiplicity bounded by three},
  author = {Tomasz Lenarcik},
  journal= {arXiv preprint arXiv:0811.0194},
  year   = {2008}
}
R2 v1 2026-06-21T11:37:27.608Z