AFFINE DELIGNE-LUSZTIG VARIETIES AND THE ACTION OF J

作者:Chen, Miaofen*; Viehmann, Eva
来源:Journal of Algebraic Geometry, 2018, 27(2): 273-304.
DOI:10.1090/jag/693

摘要

We propose a new stratification of the reduced subschemes of RapoportZink spaces and of affine Deligne-Lusztig varieties that highlights the relation between the geometry of these spaces and the action of the associated automorphism group. We show that this provides a joint group-theoretic interpretation of well-known stratifications which only exist for special cases such as the Bruhat-Tits stratification of Vollaard and Wedhorn, the semi-module stratification of de Jong and Oort, and the locus where the a-invariant is equal to 1.