20 citations · 48 across the 9 of their papers we have counts for
9 papers
Stratifications of affine Deligne-Lusztig varieties
Ulrich Goertz
Affine Deligne-Lusztig varieties are analogues of Deligne-Lusztig varieties in the context of affine flag varieties and affine Grassmannians. They are closely related to moduli spa…
Basic loci in Shimura varieties of Coxeter type
Ulrich Goertz, Xuhua He
This paper is a contribution to the general problem of giving an explicit description of the basic locus in the reduction modulo of Shimura varieties. Motivated by \cite{Vollaa…
-alcoves and nonemptiness of affine Deligne-Lusztig varieties
Ulrich Goertz, Xuhua He, Sian Nie
We study affine Deligne-Lusztig varieties in the affine flag manifold of an algebraic group, and in particular the question, which affine Deligne-Lusztig varieties are non-empty. U…
Ekedahl-Oort strata and Kottwitz-Rapoport strata
Ulrich Goertz, Maarten Hoeve
We study the moduli space A_g of g-dimensional principally polarized abelian varieties in positive characteristic, and its variant A_I with Iwahori level structure. Both supersingu…
On the connectedness of Deligne-Lusztig varieties
Ulrich Goertz
We give a criterion which determines when a union of one-dimensional Deligne-Lusztig varieties has a connected closure. We also obtain a new, short proof of the connectedness crite…
Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties
Ulrich Goertz, Chia-Fu Yu
We investigate Siegel modular varieties in positive characteristic with Iwahori level structure. On these spaces, we have the Newton stratification, and the Kottwitz-Rapoport strat…