The Newton stratification on deformations of local G-shtuka
نویسنده
چکیده
Bounded local G-shtuka 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 DeligneLusztig 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. Mathematics Subject Classification (2000): 20G25 (11G09, 14L05, 14M15)
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