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On the modularity of residually reducible Galois representations of rank 2
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.
Related
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BibTeX
@misc{dotto2026modularity,
title = {{On the modularity of residually reducible Galois representations of rank 2}},
author = {Andrea Dotto and Jack A. Thorne},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41764},
eprint = {2610.41764},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41764},
}
RIS
TY - UNPB
TI - On the modularity of residually reducible Galois representations of rank 2
AU - Andrea Dotto
AU - Jack A. Thorne
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41764
UR - https://arxiv.org/abs/2610.41764
AB - 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.
ER -