{"title":"Arrangements of a plane 𝑀-sextic with respect to a line","authors":"S. Orevkov","doi":"10.1090/spmj/1747","DOIUrl":null,"url":null,"abstract":"The mutual arrangements of a real algebraic or real pseudoholomorphic plane projective \n\n \n M\n M\n \n\n-sextic and a line up to isotopy are studied. A complete list of pseudoholomorphic arrangements is obtained. Four of them are proved to be algebraically unrealizable. All the others with two exceptions are algebraically realized.","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"St Petersburg Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/spmj/1747","RegionNum":4,"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
The mutual arrangements of a real algebraic or real pseudoholomorphic plane projective
M
M
-sextic and a line up to isotopy are studied. A complete list of pseudoholomorphic arrangements is obtained. Four of them are proved to be algebraically unrealizable. All the others with two exceptions are algebraically realized.
期刊介绍:
This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.