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

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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。

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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]).

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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).