Deligne-Lusztig varieties and period domains over finite fields

JOURNAL OF ALGEBRA

卷:320

Article

Orlik, S.¹  Rapoport, M.² 

[1] Univ Leipzig, Fak Math & Informat, D-04009 Leipzig, Germany

[2] Univ Bonn, Math Inst, D-53115 Bonn, Germany

关键词: Deligne-Lusztig varieties;    period domains;    minimal length elements in F-conjugacy classes of Weyl groups;   

DOI  :  10.1016/j.jalgebra.2008.03.035

来源: Elsevier

【 摘 要 】

We prove that the Drinfeld space is essentially the only Deligne-Lusztig variety which is at the same time a period domain over a finite field. We also discuss an affineness criterion for Deligne-Lusztig varieties and its relation to cohomology vanishing theorems. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free