On linear systems of P^ 3 through multiple points

C De Volder, A Laface�- arXiv preprint math/0311447, 2003 - arxiv.org
C De Volder, A Laface
arXiv preprint math/0311447, 2003arxiv.org
arXiv:math/0311447v1 [math.AG] 25 Nov 2003 Page 1 arXiv:math/0311447v1 [math.AG] 25
Nov 2003 ON LINEAR SYSTEMS OF P3 THROUGH MULTIPLE POINTS CINDY DE VOLDER
AND ANTONIO LAFACE Abstract. In this paper we prove a conjecture about the dimension of
linear systems of surfaces of degree d in P3 through at most eight multiple points in general
position. 1. Introduction In this paper we assume the ground field is algebraically closed of
characteristic 0. The aim of this paper is to evaluate the dimension of linear systems of�…
In this paper we prove a conjecture about the dimension of linear systems of surfaces of degree d in P^3 through at most eight multiple points in general position.
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