{"title":"On the structure of some $p$-adic period domains","authors":"Miaofen Chen, Laurent Fargues, Xu Shen","doi":"10.4310/cjm.2021.v9.n1.a4","DOIUrl":null,"url":null,"abstract":"We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter {\\mu} of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B(G,{\\mu}) is fully Hodge-Newton decomposable.","PeriodicalId":48573,"journal":{"name":"Cambridge Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2017-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cambridge Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cjm.2021.v9.n1.a4","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: 24
Abstract
We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter {\mu} of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B(G,{\mu}) is fully Hodge-Newton decomposable.