2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143205We 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.Corrected versionAlgebraic GeometryRepresentation TheoryAffineness of Deligne-Lusztig varieties for minimal length elementstext