Regular semisimple Lusztig varieties are geometrically well-behaved and flatly degenerate to Hessenberg varieties, proving the Abreu-Nigro conjecture and the affineness of Deligne-Lusztig cells.
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Geometry of regular semisimple Lusztig varieties
Regular semisimple Lusztig varieties are geometrically well-behaved and flatly degenerate to Hessenberg varieties, proving the Abreu-Nigro conjecture and the affineness of Deligne-Lusztig cells.