Linear systems on a class of anticanonical rational threefolds
arXiv:0705.0659
Abstract
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).
19 pages, 1 figure, LaTeX