{"title":"The realization spaces of certain conic-line arrangements of degree 7","authors":"Shinzo Bannai, Hiro-o Tokunaga, Emiko Yorisaki","doi":"arxiv-2409.05011","DOIUrl":null,"url":null,"abstract":"We study the embedded topology of certain conic-line arrangements of degree\n7. Two new examples of Zariski pairs are given. Furthermore, we determine the\nnumber of connected components of the conic-line arrangements. We also\ncalculate the fundamental groups using SageMath and the package Sirocco in the\nappendix.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"137 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the embedded topology of certain conic-line arrangements of degree
7. Two new examples of Zariski pairs are given. Furthermore, we determine the
number of connected components of the conic-line arrangements. We also
calculate the fundamental groups using SageMath and the package Sirocco in the
appendix.
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