Deligne-Lusztig varieties and period domains over finite fields
S. Orlik, M. Rapoport
| Number | 27 |
|---|---|
| Author | Michael Rapoport |
| Year | 2007 |
We prove that the Drinfeld halfspace is essentially the only Deligne-Lusztig variety which is at the same time a period domain over a finite field. This is done by comparing a cohomology vanishing theorem for DL-varieties, due to Digne, Michel, and Rouquier, with a non-vanishing theorem for PD, due to the first author. We also discuss an affineness criterion for DL-varieties.
