11 citations · 16 across the 5 of their papers we have counts for
5 papers
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…
Regular points in affine Springer fibers
Mark Goresky, Robert Kottwitz, Robert MacPherson
Work of Kazhdan-Lusztig and Bezrukavnikov suggests the importance of points in affine Springer fibers for which the associated conjugacy class in the finite dimensional Lie algebra…
On the Hodge-Newton decomposition for split groups
Robert E. Kottwitz
The main purpose of this paper is to prove a group-theoretic generalization of a theorem of Katz on isocrystals. Along the way we reprove the group-theoretic generalization of Mazu…
Homology of affine Springer fibers in the unramified case
Mark Goresky, Robert Kottwitz, Robert MacPherson
Assuming a certain "purity" conjecture, we derive a formula for the (complex) cohomology groups of the affine Springer fiber corresponding to any unramified regular semi-simple ele…
Purity of equivalued affine Springer fibers
Mark Goresky, Robert Kottwitz, Robert MacPherson
The affine Springer fiber corresponding to a regular integral equivalued semisimple element admits a paving by vector bundles over Hessenberg varieties and hence its (Borel-Moore)…