{"title":"论 7 度曲线的最大化","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":"{\"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}","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}
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.