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arXiv:1209.5205 [math.NT]AbstractReferencesReviewsResources

On the Breuil-Mézard conjecture

Vytautas Paskunas

Published 2012-09-24, updated 2014-03-20Version 3

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.

Comments: Subsections of {\S}2 have been rearranged; {\S}2.1 ({\S}2.2 in v2) has been rewritten to prove a stronger result; Remark 4.8 in v2 is false, {\S}4 has been rewritten to fix this; Prop.6.23, {\S}8 added
Categories: math.NT
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