We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham e-Theses
You are in:

Dieudonné theory for Faltings' strict ϭ-modules

Gibbons, William (2005) Dieudonné theory for Faltings' strict ϭ-modules. Doctoral thesis, Durham University.



The theory of group schemes and their liftings to mixed characteristic valuation rings is well-developed. In [Fal02], a new equi-characteristic analogue of group schemes, known as group schemes with strict ๕-action, or strict ๕-modules, was proposed and developed, including Dieudonné theory. In [Abr04], their theory was studied over a complete discrete valuation ring. In this Thesis, a version of Dieudonné theory is developed for the strict ๕-modules of [Abr04] over a perfect field, using constructions of [Fon77], using very different methods from those deployed in [Fal02]

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:2005
Copyright:Copyright of this thesis is held by the author
Deposited On:08 Sep 2011 18:30

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitter