Special systems through double points on an algebraic surface
代数几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0605108,
title = {Special systems through double points on an algebraic surface},
author = {Antonio Laface},
journal= {arXiv preprint arXiv:math/0605108},
year = {2007}
}
备注
10 pages, LaTeX