{"title":"二字集、维罗纳变种和格拉斯曼线","authors":"A. Cossidente, G. Marino","doi":"10.1007/s11587-024-00858-5","DOIUrl":null,"url":null,"abstract":"<p>We show that, for any <i>q</i>, the pointset covered by the conic planes of a quadric Veronesean of <span>\\(\\textrm{PG}(3,q)\\)</span> is a two character set with respect to hyperplanes of <span>\\(\\textrm{PG}(9,q)\\)</span>.</p>","PeriodicalId":21373,"journal":{"name":"Ricerche di Matematica","volume":"16 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two-character sets, Veronese varieties and Grassmannian of lines\",\"authors\":\"A. Cossidente, G. Marino\",\"doi\":\"10.1007/s11587-024-00858-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We show that, for any <i>q</i>, the pointset covered by the conic planes of a quadric Veronesean of <span>\\\\(\\\\textrm{PG}(3,q)\\\\)</span> is a two character set with respect to hyperplanes of <span>\\\\(\\\\textrm{PG}(9,q)\\\\)</span>.</p>\",\"PeriodicalId\":21373,\"journal\":{\"name\":\"Ricerche di Matematica\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-04-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ricerche di Matematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11587-024-00858-5\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ricerche di Matematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11587-024-00858-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Two-character sets, Veronese varieties and Grassmannian of lines
We show that, for any q, the pointset covered by the conic planes of a quadric Veronesean of \(\textrm{PG}(3,q)\) is a two character set with respect to hyperplanes of \(\textrm{PG}(9,q)\).
期刊介绍:
“Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.