Newton strata in the loop group of a reductive group

Details Newton strata in the loop group of a reductive group Newton strata in the loop group of a reductive group

2010-05-31

arxiv.org/abs/1005.5725v2

Mathematics

Algebraic Geometry

15 pages; exposition improved, minor corrections

Scientific paper

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.

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