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Newton strata in the loop group of a reductive group
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 2, April 2013
- pp. 499-518
- 10.1353/ajm.2013.0017
- Article
- Additional Information
We generalize purity of the Newton stratification to purity for a single break point of the Newton point in the context of local $G$-shtukas respectively of elements of the loop group of a reductive group. As an application we prove that elements of the loop group bounded by a given dominant coweight satisfy a generalization of Grothendieck's conjecture on deformations of $p$-divisible groups with given Newton polygons.