3 citations · 4 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
Dimensions of some affine Deligne-Lusztig varieties
Ulrich Goertz, Thomas J. Haines, Robert E. Kottwitz +1
This paper concerns the dimensions of certain affine Deligne-Lusztig varieties, both in the affine Grassmannian and in the affine flag manifold. Rapoport conjectured a formula for…
The Jordan-Hoelder series for nearby cycles on some Shimura varieties and affine flag varieties
Ulrich Goertz, Thomas J. Haines
We study the Jordan-Hoelder series for nearby cycles on certain Shimura varieties and Rapoport-Zink local models, and on finite-dimensional pieces of Beilinson's deformation of the…
On the flatness of local models for the symplectic group
Ulrich Goertz
We investigate the bad reduction of certain Shimura varieties (associated to the symplectic group). More precisely, we look at a model of the Shimura variety at a prime p, with par…