Defines finite height for étale Z_p-local systems on adic spaces over p-adic fields and proves potential semistability after finite étale cover via analytic prismatic F-crystals and external purity results.
A note on lattices in semi-stable representations
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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
citing papers explorer
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Potential semistability of Finite height Galois representations: Relative case
Defines finite height for étale Z_p-local systems on adic spaces over p-adic fields and proves potential semistability after finite étale cover via analytic prismatic F-crystals and external purity results.
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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