arXiv · 0708.1246
Affineness of Deligne-Lusztig varieties for minimal length elements
Abstract
We prove that the Deligne-Lusztig varieties associated to elements of the Weyl group which are of minimal length in their twisted class are affine. Our proof differs from the proof of He and Orlik-Rapoport and it is inspired by the case of regular elements, which correspond to the varieties involved in Broué's conjectures.
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Cédric Bonnafé, Raphaël Rouquier. 2007-12-03. Affineness of Deligne-Lusztig varieties for minimal length elements. https://arxiv.org/abs/0708.1246
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