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math.NT2023★ 1 cited
Nonemptiness of single affine Deligne-Lusztig varieties
Dong Gyu Lim
Affine Deligne-Lusztig varieties with various level structures show up in the study of Shimura varieties and moduli spaces of shtukas. Among is the Iwahori level structure which is…
math.NT2022★ 1 cited
The connected components of affine Deligne--Lusztig varieties
Ian Gleason, Dong Gyu Lim, Yujie Xu
We compute the connected components of arbitrary parahoric level affine Deligne-Lusztig varieties and local Shimura varieties, thus resolving a folklore conjecture in full generali…