{"title":"Extremal properties of line arrangements in the complex projective plane","authors":"Piotr Pokora","doi":"10.18778/8142-814-9.14","DOIUrl":null,"url":null,"abstract":"In the present note we study some extreme properties of point-line configurations in the complex projective plane from a viewpoint of algebraic geometry. Using Hirzebruch-type inequalites we provide some new results on r-rich lines, symplicial arrangements of lines, and the so-called free line arrangmenets.","PeriodicalId":273656,"journal":{"name":"Analytic and Algebraic Geometry 3","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analytic and Algebraic Geometry 3","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18778/8142-814-9.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In the present note we study some extreme properties of point-line configurations in the complex projective plane from a viewpoint of algebraic geometry. Using Hirzebruch-type inequalites we provide some new results on r-rich lines, symplicial arrangements of lines, and the so-called free line arrangmenets.
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