{"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}
引用次数: 0
Abstract
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.
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