Base locus of linear systems on the blowing-up of P^3 along at most 8 general points

Abstract

Consider a (non-empty) linear system of surfaces of degree d in P^3 through at most 8 multiple points in general position and let L denote the corresponding complete linear system on the blowing-up X of P^3 along those general points. Then we determine the base locus of such linear systems L on X.

16 pages, LaTeX

References in corpus (2)

• On a class of special linear systems of P^3
• On linear systems of P^3 through multiple points

Cited by in corpus (1)

• A note on the very ampleness of complete linear systems on blowings-up of P^3