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

Bodan Arsovski

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arXiv · 2102.13568

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

Bodan Arsovski

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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 $\frac{p-1}{2}$.

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Bodan Arsovski. 2021-02-26. On the reductions of certain two-dimensional crystalline representations, III. https://arxiv.org/abs/2102.13568

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