Lifting Galois representations over arbitrary number fields

Yoshiyuki Tomiyama

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arXiv · 0809.3076

Lifting Galois representations over arbitrary number fields

Yoshiyuki Tomiyama

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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.

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Yoshiyuki Tomiyama. 2008-09-18. Lifting Galois representations over arbitrary number fields. https://arxiv.org/abs/0809.3076

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