Mathematics > Number Theory
arXiv:2606.25485 (math)
[Submitted on 24 Jun 2026]
Abstract:Let F be a totally real field, and let p be prime. Under standard Taylor--Wiles hypotheses, we show that an irreducible, 2-dimensional, totally odd mod p representation of the absolute Galois group of F admits lifts lying on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary regular Hodge--Tate weights.
Submission history
From: Toby Gee [view email]
[v1]
Wed, 24 Jun 2026 07:13:50 UTC (62 KB)
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