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arXiv · 2610.41764

On the modularity of residually reducible Galois representations of rank 2

Andrea Dotto·Jack A. Thorne
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Abstract

We use a new version of the Taylor--Wiles method, based on a tame analogue of the techniques introduced by Skinner--Wiles, to prove new modularity theorems for residually reducible Galois representations of rank 2 over totally real fields.

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Andrea Dotto, Jack A. Thorne. 2026-10-30. On the modularity of residually reducible Galois representations of rank 2. https://arxiv.org/abs/2610.41764

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