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

Cindy De Volder·Antonio Laface
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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.

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Cindy De Volder, Antonio Laface. 2004-01-19. Base locus of linear systems on the blowing-up of P^3 along at most 8 general points. https://arxiv.org/abs/math/0401244

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