Abstract

Let X be the blow-up of the three dimensional complex projective space along r points in very general position on a smooth elliptic quartic curve B subset of P-3 and let L is an element of Pic(X) be any line bundle. The aim of this paper is to provide an explicit algorithm for determining the dimension of H-0 (X, L). (C) 2013 Elsevier B.V. All rights reserved.