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• W2201565515 abstract "We develop the analog of crystalline Dieudonn'e theory for p-divisible groups in the arithmetic of function fields. In our theory p-divisible groups are replaced by divisible local Anderson modules, and Dieudonn'e modules are replaced by local shtukas. We show that the categories of divisible local Anderson modules and of effective local shtukas are anti-equivalent over arbitrary base schemes. We also clarify their relation with formal Lie groups and with global objects like Drinfeld modules, Anderson's abelian t-modules and t-motives, and Drinfeld shtukas. Moreover, we discuss the existence of a Verschiebung map and apply it to deformations of local shtukas and divisible local Anderson modules. As a tool we use Faltings's and Abrashkin's theory of strict modules, which we review to some extent." @default.
• W2201565515 created "2016-06-24" @default.
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• W2201565515 date "2019-03-12" @default.
• W2201565515 modified "2023-10-15" @default.
• W2201565515 title "Local Shtukas and Divisible Local Anderson Modules" @default.
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• W2201565515 doi "https://doi.org/10.4153/cjm-2018-016-2" @default.
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