Linear systems over ℙ¹×ℙ¹ with base points of multiplicity bounded by three
Tomasz Lenarcik
Annales Polonici Mathematici, Tome 101 (2011), p. 105-122 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280361 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-1,
     author = {Tomasz Lenarcik},
     title = {Linear systems over P1xP1 with base points of multiplicity bounded by three},
     journal = {Annales Polonici Mathematici},
     volume = {101},
     year = {2011},
     pages = {105-122},
     zbl = {1215.14034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-1}
}

Tomasz Lenarcik. Linear systems over ℙ¹×ℙ¹ with base points of multiplicity bounded by three. Annales Polonici Mathematici, Tome 101 (2011) pp. 105-122. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-1/