{"title":"Potential diagonalisability of pseudo-Barsotti–Tate representations","authors":"Robin Bartlett","doi":"10.5802/jtnb.1248","DOIUrl":null,"url":null,"abstract":"Previous work of Kisin and Gee proves potential diagonalisability of two dimensional Barsotti–Tate representations of the Galois group of a finite extension K/ℚ p . In this paper we build upon their work by relaxing the Barsotti–Tate condition to one we call pseudo-Barsotti–Tate (which means that for certain embeddings κ:K→ℚ ¯ p we allow the κ-Hodge–Tate weights to be contained in [0,p] rather than [0,1]).","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":"24 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal De Theorie Des Nombres De Bordeaux","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/jtnb.1248","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
Previous work of Kisin and Gee proves potential diagonalisability of two dimensional Barsotti–Tate representations of the Galois group of a finite extension K/ℚ p . In this paper we build upon their work by relaxing the Barsotti–Tate condition to one we call pseudo-Barsotti–Tate (which means that for certain embeddings κ:K→ℚ ¯ p we allow the κ-Hodge–Tate weights to be contained in [0,p] rather than [0,1]).
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