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Relative Fontaine-Laffaille Theory over Power Series Rings

<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>

  1. 10.25394/pgs.25605924.v1
Identiferoai:union.ndltd.org:purdue.edu/oai:figshare.com:article/25605924
Date16 April 2024
CreatorsChristian Lawrence Hokaj (18368760)
Source SetsPurdue University
Detected LanguageEnglish
TypeText, Thesis
RightsCC BY 4.0
Relationhttps://figshare.com/articles/thesis/Relative_Fontaine-Laffaille_Theory_over_Power_Series_Rings/25605924

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