Under standard Taylor-Wiles hypotheses, every irreducible 2-dimensional totally odd mod p Galois representation of the absolute Galois group of a totally real field F admits lifts on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.
citing papers explorer
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Prescribed lifts of 2-dimensional representations
Under standard Taylor-Wiles hypotheses, every irreducible 2-dimensional totally odd mod p Galois representation of the absolute Galois group of a totally real field F admits lifts on arbitrary prescribed components of local deformation rings, allowing potentially semistable conditions with arbitrary
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Localizing subcategories for algebraic stacks
Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.