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Prismatic $F$-crystals and Wach modules

Abhinandan
arXiv (All) · Papers
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14f20algebraic-geometrynumber-theory
We show that the category of analytic/completed prismatic $F$-crystals on the absolute prismatic site of a small (unramified at $p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of $(φ, Γ)$-modules. The result is obtained by showing that the data of the
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