Introduces crystalline (ϕ,Γ)-modules over Ã_K⁺ and shows their category is equivalent to crystalline ℤ_p-representations of Gal(K), generalizing Berger's unramified case.
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On perfectoid spaces over p-adic fields, étale and v-topological G-torsors coincide for arbitrary rigid analytic groups G, generalizing prior results for Ga and GL_n, with applications to generalized Q_p-representations equaling v-vector bundles.
The canonical map W(k_{K_∞})[[μ]] → A_K ∩ A_inf is an isomorphism, even if K is ramified.
citing papers explorer
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On the $(\varphi,\Gamma)$-modules corresponding to crystalline representations
Introduces crystalline (ϕ,Γ)-modules over Ã_K⁺ and shows their category is equivalent to crystalline ℤ_p-representations of Gal(K), generalizing Berger's unramified case.
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$G$-torsors on perfectoid spaces
On perfectoid spaces over p-adic fields, étale and v-topological G-torsors coincide for arbitrary rigid analytic groups G, generalizing prior results for Ga and GL_n, with applications to generalized Q_p-representations equaling v-vector bundles.
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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.