{"title":"On maximizing curves of degree 7","authors":"Izabela Czarnota","doi":"10.1007/s11565-024-00523-7","DOIUrl":null,"url":null,"abstract":"<div><p>In the present paper we investigate an intriguing question on the existence of maximizing curves of degree 7 with some prescribed <span>\\(\\textrm{ADE}\\)</span> singularities. We give a result proving the non-existence of such maximizing septics and we give new examples of conic-line arrangements with some <span>\\(\\textrm{ADE}\\)</span> singularities that are free but not maximizing.\n</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1479 - 1489"},"PeriodicalIF":0.0000,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00523-7.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-024-00523-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper we investigate an intriguing question on the existence of maximizing curves of degree 7 with some prescribed \(\textrm{ADE}\) singularities. We give a result proving the non-existence of such maximizing septics and we give new examples of conic-line arrangements with some \(\textrm{ADE}\) singularities that are free but not maximizing.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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