Special systems through double points on an algebraic surface

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
10 pages, LaTeX

Keywords

Algebraic Geometry, 14C20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/112652

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605108
 http://arxiv.org/abs/math/0605108

Collections

arXiv