Develops Tate-Sen formalism for Galois representations over convergent de Rham period ring, proving cohomology finiteness under non-Liouville Sen weights and category equivalence for algebraic weights.
Cohomology and duality for ( , ) -modules over the R obba ring
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The canonical map W(k_{K_∞})[[μ]] → A_K ∩ A_inf is an isomorphism, even if K is ramified.
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Galois representations over convergent de Rham period ring
Develops Tate-Sen formalism for Galois representations over convergent de Rham period ring, proving cohomology finiteness under non-Liouville Sen weights and category equivalence for algebraic weights.
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A remark on an integral structure of the imperfect coefficient ring of $(\varphi,\Gamma)$-modules
The canonical map W(k_{K_∞})[[μ]] → A_K ∩ A_inf is an isomorphism, even if K is ramified.