Linear systems on a class of anticanonical rational threefolds

Details Linear systems on a class of anticanonical rational threefolds Linear systems on a class of anticanonical rational threefolds

2007-05-04

arxiv.org/abs/0705.0659v1

Mathematics

Algebraic Geometry

19 pages, 1 figure, LaTeX

Scientific paper

Let X be the blow-up of the three dimensional complex projective space along
r general points of a smooth elliptic quartic curve B of P^3 and let L be any
line bundle of X. The aim of this paper is to provide an explicit algorithm for
determining the dimension of H^0(X,L).

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