Diego Conti , Alessandro Ghigi , Roberto Pignatelli
{"title":"作用在曲线上的拓扑类型","authors":"Diego Conti , Alessandro Ghigi , Roberto Pignatelli","doi":"10.1016/j.jsc.2023.01.002","DOIUrl":null,"url":null,"abstract":"<div><p>We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface <em>C</em> of genus <span><math><mi>g</mi><mo>≥</mo><mn>2</mn></math></span> with <span><math><mi>C</mi><mo>/</mo><mi>G</mi><mo>≅</mo><msup><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Topological types of actions on curves\",\"authors\":\"Diego Conti , Alessandro Ghigi , Roberto Pignatelli\",\"doi\":\"10.1016/j.jsc.2023.01.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface <em>C</em> of genus <span><math><mi>g</mi><mo>≥</mo><mn>2</mn></math></span> with <span><math><mi>C</mi><mo>/</mo><mi>G</mi><mo>≅</mo><msup><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0747717123000020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0747717123000020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe an algorithm that constructs a list of all topological types of holomorphic actions of a finite group on a compact Riemann surface C of genus with .
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