The dimension of some affine Deligne–Lusztig varieties
By E. Viehmann. 2006
52 citations recorded by the source corpus.
Abstract We prove Rapoport's dimension conjecture for affine Deligne–Lusztig varieties for GL h and superbasic b. From this case the general dimension formula for affine Deligne–Lusztig varieties for special maximal compact subgroups of split groups follows, as was shown in a recent paper by Gortz, Haines, Kottwitz, and Reuman.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e6de83913e9a2e7caa321d02e18dcdadea5efb0a
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In Discrete Mathematics and Combinatorics
- Xuhua He
- E. Viehmann
- U. Hartl
- Ulrich Goertz
- Thomas J. Haines
- R. Kottwitz
- Daniel C. Reuman
- Michael Rapoport
In Geometry and Topology
- Xuhua He
- E. Viehmann
- Thomas J. Haines
- Michael Rapoport
- Ulrich Goertz
- U. Hartl
- Daniel C. Reuman
- R. Kottwitz
In Mathematical Physics
- Xuhua He
- E. Viehmann
- Thomas J. Haines
- Michael Rapoport
- U. Hartl
- Ulrich Goertz
- Daniel C. Reuman
- R. Kottwitz
Citations in the corpus
- The Newton stratification on deformations of local G-shtukas (2008, methodology): “Using the dimension formula for a‰ne Deligne–Lusztig varieties in [16], [49], and Theorem 1.”
- Dimensions of some affine Deligne–Lusztig varieties (2005, methodology): “Shortly after this paper appeared as a preprint, Viehmann [34] proved Rapoport’s conjecture for superbasic elements, and so Rapoport’s conjecture is now proved in general.”
- GEOMETRIC AND HOMOLOGICAL PROPERTIES OF AFFINE DELIGNE-LUSZTIG VARIETIES (2012, methodology): “This is achieved by combining the “dimension=degree” theorem with the partial conjugation method developed in [13] and the dimension formula for affine Deligne-Lusztig varieties in the affine Grassmannian in [7] and [31].”