Crystalline extensions and the weight part of Serre's conjecture

Details Crystalline extensions and the weight part of Serre's conjecture Crystalline extensions and the weight part of Serre's conjecture

2011-06-28

arxiv.org/abs/1106.5584v1

Mathematics

Number Theory

17 pages

Scientific paper

Let p>2 be prime. We complete the proof of the weight part of Serre's conjecture for rank two unitary groups for mod p representations in the totally ramified case, by proving that any weight which occurs is a predicted weight. Our methods are a mixture of local and global techniques, and in the course of the proof we establish some purely local results on crystalline extension classes.

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