{"title":"费马立方体上的性技巧点和九型点及相关对象","authors":"Łukasz Merta, Maciej Zięba","doi":"10.1016/j.jalgebra.2024.08.013","DOIUrl":null,"url":null,"abstract":"<div><p>In this note we study line and conic arrangements associated with sextactic and type 9 points on the Fermat cubic <em>F</em> and we provide explicit coordinates for each of the 72 type 9 points on <em>F</em>.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021869324004745/pdfft?md5=1e21d456085d4a74528753d4e7e7fa40&pid=1-s2.0-S0021869324004745-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Sextactic and type-9 points on the Fermat cubic and associated objects\",\"authors\":\"Łukasz Merta, Maciej Zięba\",\"doi\":\"10.1016/j.jalgebra.2024.08.013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this note we study line and conic arrangements associated with sextactic and type 9 points on the Fermat cubic <em>F</em> and we provide explicit coordinates for each of the 72 type 9 points on <em>F</em>.</p></div>\",\"PeriodicalId\":14888,\"journal\":{\"name\":\"Journal of Algebra\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0021869324004745/pdfft?md5=1e21d456085d4a74528753d4e7e7fa40&pid=1-s2.0-S0021869324004745-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869324004745\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869324004745","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
在本论文中，我们研究了与费马立方体 F 上的性点和第 9 类点相关的直线和圆锥排列，并为 F 上的 72 个第 9 类点提供了明确的坐标。
Sextactic and type-9 points on the Fermat cubic and associated objects
In this note we study line and conic arrangements associated with sextactic and type 9 points on the Fermat cubic F and we provide explicit coordinates for each of the 72 type 9 points on F.
期刊介绍：
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
