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Relative Fontaine-Laffaille Theory over Power Series RingsChristian Lawrence Hokaj (18368760) 16 April 2024 (has links)
<p dir="ltr">Let k be a perfect field of characteristic p > 2. We extend the equivalence of categories between Fontaine-Laffaille modules and Z_p lattices inside crystalline representations with Hodge-Tate weights at most p-2 of Fontaine to the situation where the base ring is the power series ring in d variables over the ring of Witt vectors of k. </p>
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