伪barsotti - tate表象的潜在对角性

IF 0.3 4区数学 Q4 MATHEMATICS

Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-10-10 DOI:10.5802/jtnb.1248

Robin Bartlett

{"title":"伪barsotti - tate表象的潜在对角性","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":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"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\":null,\"pages\":null},\"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}","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

摘要

Kisin和Gee先前的工作证明了有限扩展K/ π的伽罗瓦群的二维Barsotti-Tate表示的潜在对角性。在本文中，我们通过将Barsotti-Tate条件放宽为伪Barsotti-Tate条件(这意味着对于某些嵌入κ:K→π¯p，我们允许κ- hodge - tate权值包含在[0,p]而不是[0,1]中)来建立他们的工作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Potential diagonalisability of pseudo-Barsotti–Tate representations

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]).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal De Theorie Des Nombres De Bordeaux MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The Journal de Théorie des Nombres de Bordeaux publishes original papers on number theory and related topics (not published elsewhere).