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arxiv: 1209.5205 · v3 · pith:4IHUKYJVnew · submitted 2012-09-24 · 🧮 math.NT

On the Breuil-M\'ezard conjecture

classification 🧮 math.NT
keywords breuil-mconjectureezardabsolutedimensionalendomorphismsgaloisgive
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We give a new local proof of Breuil-M\'ezard conjecture for two dimensional representations of the absolute Galois group of $\mathbb{Q}_p$, when $p\ge 5$ and the representation has scalar endomorphisms.

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