Group Schemes with ${\mathbb{F}}_q$-Action

Abstract

Via a construction due to V. Drinfel'd, we prove an equivalence of categories, generalizing the equivalence between commutative flat group schemes in characteristic $p$ with trivial Verschiebung and their Dieudonné modules to group schemes with ${\mathbb{F}}_q$-action.

25 pages; v2: improvements throughout, incl. referee's suggestions; v3: minimal corrections, added journal ref

References in corpus (1)

• Local Shtukas and Divisible Local Anderson Modules

Cited by in corpus (1)

• Local Shtukas and Divisible Local Anderson Modules