{"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.
Francesco Di Gennaro, Nicola Veronese, Claudia Marotta, Jae Il Shin, Ai Koyanagi, Andrea Silenzi, Mario Antunes, Annalisa Saracino, Davide Fiore Bavaro, Pinar Soysal, Francesco Vladimiro Segala, Laurie Butler, Eugenio Milano, Mario Barbagallo, Yvonne Barnett, Christopher Parris, Emanuele Nicastri, Damiano Pizzol, Lee Smith
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
