Base locus of linear systems on the blowing-up of P³ along at most 8 general points

2004/01/19 by Cindy De Volder, De Volder, Cindy, Antonio Laface +1
Mathematics · #14C20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C20

paper · pdf · doi:10.48550/arxiv.math/0401244

16 pages, LaTeX

arxiv created 2004/01/19 · arxiv updated 2009/12/01

Abstract

Consider a (non-empty) linear system of surfaces of degree d in P³ through at most 8 multiple points in general position and let L denote the corresponding complete linear system on the blowing-up X of P³ along those general points. Then we determine the base locus of such linear systems L on X.

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