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  Potential diagonalisability of pseudo-Barsotti-Tate representations

Bartlett, R. (2023). Potential diagonalisability of pseudo-Barsotti-Tate representations. Journal de Théorie des Nombres de Bordeaux, 35(2), 335-371. doi:10.5802/jtnb.1248.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000D-F3AE-D Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F3AF-C
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https://doi.org/10.48550/arXiv.2001.08660 (Preprint)
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 Creators:
Bartlett, Robin1, Author                 
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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/Qp. 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 → Qp we allow the κ-Hodge–Tate weights
to be contained in [0, p] rather than [0, 1]).

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Language(s): eng - English
 Dates: 2023
 Publication Status: Issued
 Pages: 38
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 Rev. Type: Peer
 Identifiers: arXiv: 2001.08660
DOI: 10.5802/jtnb.1248
 Degree: -

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Title: Journal de Théorie des Nombres de Bordeaux
Source Genre: Journal
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Publ. Info: Institut de Mathématiques de Bordeaux, Université Bordeaux 1
Pages: - Volume / Issue: 35 (2) Sequence Number: - Start / End Page: 335 - 371 Identifier: -