Quasi-homogeneous linear systems on ℙ² with base points of multiplicity 7, 8, 9, 10

Marcin Dumnicki. "Quasi-homogeneous linear systems on ℙ² with base points of multiplicity 7, 8, 9, 10." Annales Polonici Mathematici 100.3 (2011): 277-300. <http://eudml.org/doc/280466>.

@article{MarcinDumnicki2011,
abstract = {We prove that the Segre-Gimigliano-Harbourne-Hirschowitz conjecture holds for quasi-homogeneous linear systems on ℙ² for m = 7, 8, 9, 10, i.e. systems of curves of a given degree passing through points in general position with multiplicities at least m,...,m,m₀, where m = 7, 8, 9, 10, m₀ is arbitrary.},
author = {Marcin Dumnicki},
journal = {Annales Polonici Mathematici},
keywords = {linear systems; Segre-Gimigliano-Harbourne-Hirschowitz conjecture; systems of plane curves},
language = {eng},
number = {3},
pages = {277-300},
title = {Quasi-homogeneous linear systems on ℙ² with base points of multiplicity 7, 8, 9, 10},
url = {http://eudml.org/doc/280466},
volume = {100},
year = {2011},
}

TY - JOUR
AU - Marcin Dumnicki
TI - Quasi-homogeneous linear systems on ℙ² with base points of multiplicity 7, 8, 9, 10
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 3
SP - 277
EP - 300
AB - We prove that the Segre-Gimigliano-Harbourne-Hirschowitz conjecture holds for quasi-homogeneous linear systems on ℙ² for m = 7, 8, 9, 10, i.e. systems of curves of a given degree passing through points in general position with multiplicities at least m,...,m,m₀, where m = 7, 8, 9, 10, m₀ is arbitrary.
LA - eng
KW - linear systems; Segre-Gimigliano-Harbourne-Hirschowitz conjecture; systems of plane curves
UR - http://eudml.org/doc/280466
ER -