The Newton stratification on deformations of local G-shtukas
By U. Hartl, E. Viehmann. 2008
58 citations recorded by the source corpus.
Abstract 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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/84b32b6f8c80bf77f11a2a09074da570d308f0b6
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties (2014, methodology): “For split groups, this is first proved by Hartl and Viehmann in [7].”
- GEOMETRIC AND HOMOLOGICAL PROPERTIES OF AFFINE DELIGNE-LUSZTIG VARIETIES (2012, background): “There is also an important connection between affine Deligne-Lusztig varieties and the moduli spaces of p -divisible groups and their analogs in function field case, the local G -shtukas; see [12].”