Geodesic
Quasi-Homogeneous Linear Systems on P2 with Base Points of Multiplicity 5
Canadian journal of mathematics, Tome 55 (2003) no. 3, pp. 561-575

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider linear systems of $\mathbb{P}{{}^{2}}$ with all but one of the base points of multiplicity 5. We give an explicit way to evaluate the dimensions of such systems.
DOI : 10.4153/CJM-2003-023-9
Mots-clés : 14C20, 14N05 
Laface, Antonio; Ugaglia, Luca. Quasi-Homogeneous Linear Systems on P2 with Base Points of Multiplicity 5. Canadian journal of mathematics, Tome 55 (2003) no. 3, pp. 561-575. doi: 10.4153/CJM-2003-023-9
@article{10_4153_CJM_2003_023_9,
     author = {Laface, Antonio and Ugaglia, Luca},
     title = {Quasi-Homogeneous {Linear} {Systems} on {P2} with {Base} {Points} of {Multiplicity} 5},
     journal = {Canadian journal of mathematics},
     pages = {561--575},
     year = {2003},
     volume = {55},
     number = {3},
     doi = {10.4153/CJM-2003-023-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2003-023-9/}
}
TY  - JOUR
AU  - Laface, Antonio
AU  - Ugaglia, Luca
TI  - Quasi-Homogeneous Linear Systems on P2 with Base Points of Multiplicity 5
JO  - Canadian journal of mathematics
PY  - 2003
SP  - 561
EP  - 575
VL  - 55
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2003-023-9/
DO  - 10.4153/CJM-2003-023-9
ID  - 10_4153_CJM_2003_023_9
ER  - 
%0 Journal Article
%A Laface, Antonio
%A Ugaglia, Luca
%T Quasi-Homogeneous Linear Systems on P2 with Base Points of Multiplicity 5
%J Canadian journal of mathematics
%D 2003
%P 561-575
%V 55
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2003-023-9/
%R 10.4153/CJM-2003-023-9
%F 10_4153_CJM_2003_023_9

[CM] [CM] Ciliberto, Ciro and Miranda, Rick Linear systems of plane curves with base points of equal multiplicity. Trans. Amer. Math. Soc. 352(2000), 4037–4050. Google Scholar

[CM98] [CM98] Ciliberto, Ciro and Miranda, Rick Degenerations of planar linear systems. J. Reine Angew. Math. 501(1998), 191–220. Google Scholar

[GPS01] [GPS01] Greuel, G.-M., Pfister, G. and Schönemann, H., Singular 2.0, A Computer Algebra System for Polynomial Computations. Centre for Computer Algebra, University of Kaiserslautern, 2001, http://www.singular.uni-kl.de. Google Scholar

[Har98] [Har98] Harbourne, Brian Free resolutions of fat point ideals on P2. J. Pure Appl. Algebra (1)-(3) 125(1998), 213–234. Google Scholar

[Hir89] [Hir89] Hirschowitz, André Une conjecture pour la cohomologie des diviseurs sur les surfaces rationnelles génériques. J. Reine Angew. Math. 397(1989), 208–213. Google Scholar

[Laf99] [Laf99] Laface, Antonio, Linear systems with fixed base points of given multiplicity. PhD Thesis, 1999. Google Scholar

[Lau99] [Lau99] Laurent, Evain La fonction de Hilbert de la réunion de 4h gros points génériques de P2 de même multiplicité. J. Algebraic Geom. (4) 8(1999), 787–796. Google Scholar

[Mig00] [Mig00] Mignon, Thierry Systèmes de courbes planes à singularités imposées: le cas des multiplicités inférieures ou égales à quatre. J. Pure Appl. Algebra (2) 151(2000), 173–195. Google Scholar

[Sei] [Sei] Seibert, James, The dimension of quasi-homogeneous linear systems with multiplicity four. Preprint, http://front.math.ucdavis.edu/math.AG/9905076. Google Scholar

Cité par Sources :