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Lifting Galois representations over arbitrary number fields
Authors:Yoshiyuki Tomiyama
Institution:Kyushu University, Graduate School of Mathematics, 6-10-1, Hakozaki, Higashiku 812-8581, Fukuoka, Japan
Abstract: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.
Keywords:Galois representations
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