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

Bodan Arsovski

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arXiv · 1808.03224

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

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 completely classify the aforementioned representations over the non-subtle components of weight space, both for integer and non-integer slopes.

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Bodan Arsovski. 2018-08-09. On the reductions of certain two-dimensional crystalline representations, II. https://arxiv.org/abs/1808.03224

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