Special systems through double points on an algebraic surface

Details Special systems through double points on an algebraic surface Special systems through double points on an algebraic surface

2006-05-03

arxiv.org/abs/math/0605108v1

Mathematics

Algebraic Geometry

10 pages, LaTeX

Scientific paper

Let S be a smooth algebraic surface satisfying the following property: H^i(\oc_S(C))=0 (i=1,2) for any irreducible and reduced curve C of S. The aim of this paper is to provide a characterization of special linear systems on S which are singular along a set of double points in general position. As an application, the dimension of such systems is evaluated in case S is an Abelian, an Enriques, a K3 or an anticanonical rational surface.

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