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On the affineness of Deligne-Lusztig varieties

2007/07/02 by Xuhua He, He, Xuhua
Mathematics · #20C33 #20F55 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20C33 #msc:20F55

paper · pdf · doi:10.48550/arxiv.0707.0259

14 pages

arxiv created 2007/07/02 · openalex publication_date 2007/07/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Deligne-Lusztig variety associated to minimal length elements in any \d-conjugacy class of the Weyl group is affine, which was conjectured by Orlik and Rapoport in \citeOR.

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