English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We develop the analog of crystalline Dieudonn\'e theory for p-divisiblegroups in the arithmetic of function fields. In our theory p-divisible groupsare replaced by divisible local Anderson modules, and Dieudonn\'e modules arereplaced by local shtukas. We show that the categories of divisible localAnderson modules and of effective local shtukas are anti-equivalent overarbitrary base schemes. We also clarify their relation with formal Lie groupsand with global objects like Drinfeld modules, Anderson's abelian t-modules andt-motives, and Drinfeld shtukas. Moreover, we discuss the existence of aVerschiebung map and apply it to deformations of local shtukas and divisiblelocal Anderson modules. As a tool we use Faltings's and Abrashkin's theory ofstrict modules, which we review to some extent.

Local Shtukas and Divisible Local Anderson Modules