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Licensed Unlicensed Requires Authentication Published by De Gruyter June 18, 2011

The Newton stratification on deformations of local G-shtukas

Urs Hartl and Eva Viehmann
From the journal

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.

Received: 2008-11-23
Revised: 2010-02-08
Published Online: 2011-06-18
Published in Print: 2011-July

© Walter de Gruyter Berlin · New York 2011