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

Tomasz Lenarcik

Annales Polonici Mathematici (2011)

  • Volume: 101, Issue: 2, page 105-122
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Tomasz Lenarcik. "Linear systems over ℙ¹×ℙ¹ with base points of multiplicity bounded by three." Annales Polonici Mathematici 101.2 (2011): 105-122. <http://eudml.org/doc/280361>.

@article{TomaszLenarcik2011,
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 ℙ¹×ℙ¹ with multiplicities not exceeding 3.},
author = {Tomasz Lenarcik},
journal = {Annales Polonici Mathematici},
keywords = {linear systems; curves; surfaces; fat points},
language = {eng},
number = {2},
pages = {105-122},
title = {Linear systems over ℙ¹×ℙ¹ with base points of multiplicity bounded by three},
url = {http://eudml.org/doc/280361},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Tomasz Lenarcik
TI - Linear systems over ℙ¹×ℙ¹ with base points of multiplicity bounded by three
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 2
SP - 105
EP - 122
AB - 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.
LA - eng
KW - linear systems; curves; surfaces; fat points
UR - http://eudml.org/doc/280361
ER -

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