{"title":"复射影平面上直线排列的极值性质","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":"{\"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}","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}
Extremal properties of line arrangements in the complex projective plane
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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