38 citations · 68 across the 5 of their papers we have counts for
5 papers
Fully Hodge-Newton decomposable Shimura varieties
Ulrich Goertz, Xuhua He, Sian Nie
The motivation for this paper is the study of arithmetic properties of Shimura varieties, in particular the Newton stratification of the special fiber of a suitable integral model…
Dimensions of affine Deligne-Lusztig varieties in affine flag varieties
Ulrich Goertz, Xuhua He
Affine Deligne-Lusztig varieties are analogs of Deligne-Lusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper arXiv:0805.0045v4 by Ha…
The supersingular locus in Siegel modular varieties with Iwahori level structure
Ulrich Goertz, Chia-Fu Yu
We study moduli spaces of abelian varieties in positive characteristic, more specifically the moduli space of principally polarized abelian varieties on the one hand, and the analo…
Affine Deligne-Lusztig varieties in affine flag varieties
Ulrich Goertz, Thomas J. Haines, Robert E. Kottwitz +1
This paper studies affine Deligne-Lusztig varieties in the affine flag manifold of a split group. Among other things, it proves emptiness for certain of these varieties, relates so…
On the flatness of models of certain Shimura varieties of PEL-type
U. Goertz
Consider a PEL-Shimura variety associated to a unitary group that splits over an unramified extension of Q_p. Rapoport and Zink have defined a model of the Shimura variety over the…