Affine Deligne--Lusztig varieties with finite Coxeter parts

Xuhua He, Sian Nie, Qingchao Yu

In this paper, we study affine Deligne--Lusztig varieties $X_w(b)$ when the finite part of the element $w$ in the Iwahori--Weyl group is a partial $\sigma$-Coxeter element. We show that…