# Newton strata in the loop group of a reductive group - Mathematics > Algebraic Geometry

Newton strata in the loop group of a reductive group - Mathematics > Algebraic Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We generalize purity of the Newton stratification to purity for a singlebreak point of the Newton point in the context of local G-shtukas respectivelyof elements of the loop group of a reductive group. As an application we provethat elements of the loop group bounded by a given dominant coweight satisfy ageneralization of Grothendieck-s conjecture on deformations of p-divisiblegroups with given Newton polygons.

Author: ** Eva Viehmann**

Source: https://arxiv.org/