On linear systems of P^3 through multiple points

Abstract

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.

9 pages, LaTeX

Cited by in corpus (5)

• Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property
• On linear systems of ${\mathbb{P}}^3$ with nine base points
• A note on the very ampleness of complete linear systems on blowings-up of P^3
• Lefschetz property and powers of linear forms in $\mathbb{K}[x,y,z]$
• Base locus of linear systems on the blowing-up of P^3 along at most 8 general points