{"title":"某些 7 度圆锥曲线排列的实现空间","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":"{\"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}","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}
The realization spaces of certain conic-line arrangements of degree 7
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.