%0 Journal Article
%T The Newton stratification on deformations of local G-shtukas
%A U. Hartl
%A E. Viehmann
%J Mathematics
%D 2008
%I arXiv
%R 10.1515/CRELLE.2011.044
%X Bounded local G-shtukas are function field analogs for p-divisible groups with extra structure. We describe their deformations and moduli spaces. The latter are analogous to Rapoport-Zink spaces for p-divisible groups. The underlying schemes of these moduli spaces are affine Deligne-Lusztig varieties. For basic Newton polygons the closed Newton stratum in the universal deformation of a local G-shtuka is isomorphic to the completion of a corresponding affine Deligne-Lusztig variety in that point. This yields bounds on the dimension and proves equidimensionality of the basic affine Deligne-Lusztig varieties.
%U http://arxiv.org/abs/0810.0821v3