On the reductions of certain two-dimensional crystalline representations, III

2021/02/26 by Bodan Arsovski, Arsovski, Bodan
Mathematics · #11S20 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2102.13568

openalex publication_date 2021/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A conjecture of Breuil, Buzzard, and Emerton says that the slopes of certain reducible p-adic Galois representations must be integers. In previous work we showed this conjecture for representations that lie over certain non-subtle components of weight space. This article is a continuation of that work in which we also show the conjecture for the subtle components for slopes less than (p-1)/(2).

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