A Note on Potential Diagonalizability of Crystalline Representations

2012/04/20 by Hui Gao, Tong Liu, Gao, Hui +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1204.4704

openalex publication_date 2012/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let K₀ be a finite unramified extension of Q_p. We show that all crystalline representations of G_K0 (the absolute Galois group of K₀) with Hodge-Tate weights in 0, ..., p-1 are potentially diagonalizable.

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