On linear systems of P³ through multiple points

2003/11/25 by Cindy De Volder, De Volder, Cindy, Antonio Laface +1
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms #Polynomial and algebraic computation #math.AG #msc:14C20

paper · pdf · doi:10.48550/arxiv.math/0311447

9 pages, LaTeX

arxiv created 2003/11/25 · arxiv updated 2009/12/01

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.

Related

• Recent results on linear systems on generic K3 surfaces
• A counterexample to a conjecture on linear systems on P³
• Linear systems in P³ with low degrees and low multiplicities
• New effective bounds on the dimension of a linear system in \mathbb P²
• Base locus of linear systems on the blowing-up of P³ along at most 8 general points