Cutting diagram method for systems of plane curves with base points

Marcin Dumnicki

Annales Polonici Mathematici (2007)

  • Volume: 90, Issue: 2, page 131-143
  • ISSN: 0066-2216

Abstract

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We develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne conjecture holds for systems with base points of equal multiplicity bounded by 42.

How to cite

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Marcin Dumnicki. "Cutting diagram method for systems of plane curves with base points." Annales Polonici Mathematici 90.2 (2007): 131-143. <http://eudml.org/doc/280446>.

@article{MarcinDumnicki2007,
abstract = {We develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne conjecture holds for systems with base points of equal multiplicity bounded by 42.},
author = {Marcin Dumnicki},
journal = {Annales Polonici Mathematici},
keywords = {multivariate interpolation; linear systems; Hirschowitz–Harbourne conjecture},
language = {eng},
number = {2},
pages = {131-143},
title = {Cutting diagram method for systems of plane curves with base points},
url = {http://eudml.org/doc/280446},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Marcin Dumnicki
TI - Cutting diagram method for systems of plane curves with base points
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 2
SP - 131
EP - 143
AB - We develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne conjecture holds for systems with base points of equal multiplicity bounded by 42.
LA - eng
KW - multivariate interpolation; linear systems; Hirschowitz–Harbourne conjecture
UR - http://eudml.org/doc/280446
ER -

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