{"title":"ON THE TEMPERED FUNDAMENTAL GROUPS OF HYPERBOLIC CURVES OF GENUS \n$0$\n OVER \n$\\overline {\\mathbb {Q}}_p$","authors":"Shota Tsujimura","doi":"10.1017/S147474802200024X","DOIUrl":null,"url":null,"abstract":"Abstract Let p be a prime number. In the present paper, we prove that the moduli of hyperbolic curves of genus \n$0$\n over an algebraic closure of the field of p-adic numbers may be completely determined by their tempered fundamental groups.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"2833 - 2856"},"PeriodicalIF":1.1000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Institute of Mathematics of Jussieu","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/S147474802200024X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract Let p be a prime number. In the present paper, we prove that the moduli of hyperbolic curves of genus
$0$
over an algebraic closure of the field of p-adic numbers may be completely determined by their tempered fundamental groups.
期刊介绍：
The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.
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