On the affineness of distinguished Deligne-Lusztig varieties

JOURNAL OF ALGEBRA

卷:390

Article

Harashita, Shushi

关键词: Algebraic geometry;    Deligne-Lusztig varieties;   

DOI  :  10.1016/j.jalgebra.2013.05.025

来源: Elsevier

【 摘 要 】

We consider Deligne-Lusztig varieties in the variety of parabolic subgroups with a fixed type. In this paper, we give a criterion for the affineness of distinguished Deligne-Lusztig varieties, extending and refining the original Deligne-Lusztig criterion. In particular we show that distinguished Deligne-Lusztig varieties are affine except possibly for small q, and that all distinguished Deligne-Lusztig varieties associated to rank-2 groups are affine. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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