Deligne-Lusztig varieties and period domains over finite fields
| dc.creator | Orlik, S. | |
| dc.creator | Rapoport, M. | |
| dc.date | 2007-05-11 | |
| dc.date | 2007-07-08 | |
| dc.date.accessioned | 2026-07-07T08:14:13Z | |
| dc.date.available | 2026-07-07T08:14:13Z | |
| dc.description | 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. | |
| dc.description | 16 pages, reference added to the paper of X. He (arXiv:0707.0259) in which the affineness conjecture for DL-varieties is proved | |
| dc.identifier | https://arxiv.org/abs/0705.1646 | |
| dc.identifier | http://arxiv.org/abs/0705.1646 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133046 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 20G40; 14M15;20C33 | |
| dc.title | Deligne-Lusztig varieties and period domains over finite fields | |
| dc.type | text |