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

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

2004-01-19

arxiv.org/abs/math/0401244v1

Mathematics

Algebraic Geometry

16 pages, LaTeX

Scientific paper

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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