Abstract
We determine the set of connected components of closed affine Deligne-Lusztig varieties for special maximal compact subgroups of split connected reductive groups. We show that there is a transitive group action on this set. Thus such an affine Deligne-Lusztig variety has isolated points if and only if its dimension is 0. We also obtain a description of the set of these varieties that are zero-dimensional.
| Original language | English |
|---|---|
| Pages (from-to) | 315-333 |
| Number of pages | 19 |
| Journal | Mathematische Annalen |
| Volume | 340 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2008 |
| Externally published | Yes |