{"title":"Surface","authors":"Eleanor Chan","doi":"10.4324/9780429326431-5","DOIUrl":null,"url":null,"abstract":". Let S be a smooth projective algebraic surface satisfying the following property: H i ( S,B ) = 0 for i > 0, for any irreducible and reduced curve B 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 very general position. As an application, the dimension of such systems is evaluated in case S is a simple Abelian surface, a K 3 surface which does not contain elliptic curves or an anticanonical rational surface.","PeriodicalId":272977,"journal":{"name":"Mathematics and the Craft of Thought in the Anglo-Dutch Renaissance","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and the Craft of Thought in the Anglo-Dutch Renaissance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4324/9780429326431-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. Let S be a smooth projective algebraic surface satisfying the following property: H i ( S,B ) = 0 for i > 0, for any irreducible and reduced curve B 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 very general position. As an application, the dimension of such systems is evaluated in case S is a simple Abelian surface, a K 3 surface which does not contain elliptic curves or an anticanonical rational surface.
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