Special systems through double points on an algebraic surface

2006/05/03 by Antonio Laface, Laface, Antonio
Mathematics · #14C20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0605108

openalex publication_date 2006/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let S be a smooth algebraic surface satisfying the following property: Hⁱ(\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.

Citations

• Bertini and his two fundamental theorems

Related

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