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Prismatic $F$-crystals and crystalline Galois representations
Published 28 Jun 2021 in math.NT and math.AG | (2106.14735v2)
Abstract: Let $K$ be a complete discretely valued field of mixed characteristic $(0,p)$ with perfect residue field. We prove that the category of prismatic $F$-crystals on $\mathcal O_K$ is equivalent to the category of lattices in crystalline $G_K$-representations.
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