On the affineness of Deligne–Lusztig varieties

详细信息    查看全文

• 作者：Xuhua He
• 关键词：Deligne– ; Lusztig variety ; Minimal length element
• 刊名：Journal of Algebra
• 出版年：2008
• 出版时间：1 August 2008
• 年：2008
• 卷：320
• 期：3
• 页码：1207-1219
• 全文大小：186 K

文摘

We prove that the Deligne–Lusztig variety associated to minimal length elements in any δ-conjugacy class of the Weyl group is affine, which was conjectured by Orlik and Rapoport in [S. Orlik, M. Rapoport, Deligne–Lusztig varieties and period domains over finite fields, arXiv: 0705.1646].