Lifting Galois representations over arbitrary number fields

Details Lifting Galois representations over arbitrary number fields Lifting Galois representations over arbitrary number fields

2008-09-18

arxiv.org/abs/0809.3076v1

Mathematics

Number Theory

Scientific paper

It is proved that every two-dimensional residual Galois representation of the
absolute Galois group of an arbitrary number field lifts to a characteristic
zero $p$-adic representation, if local lifting problems at places above $p$ are
unobstructed.

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