Weight elimination in two dimensions when $p=2$

Abstract

We prove the `weight elimination' part of the weight part of Serre's conjecture for mod 2 Galois representations for rank two unitary groups, by modifying the results in arXiv:1203.2552 and arXiv:1309.0527.

Final version. To appear in Mathematical Research Letters. Adapts arguments from arXiv:1203.2552 and arXiv:1309.0527

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