2007/08/09 by Cédric Bonnafé, Raphaël Rouquier, Bonnafé, Cédric +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT
paper · pdf · doi:10.48550/arxiv.0708.1246
Corrected version
arxiv created 2007/12/03 · arxiv updated 2009/12/01
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.