38 citations · 55 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Formulas for the dimensions of some affine Deligne-Lusztig Varieties
Daniel C. Reuman
Rapoport and Kottwitz defined the affine Deligne-Lusztig varieties of a quasisplit connected reductive group over for a parahoric…
Determining whether certain affine Deligne-Lusztig sets are empty
Daniel C. Reuman
Let F be a non-archimedean local field, let L be the maximal unramified extension of F, and let fr be the Frobenius automorphism. Let G be a split connected reductive group over F,…