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math.AG2020
Affine Deligne-Lusztig varieties and folded galleries governed by chimneys
Elizabeth Milićević, Petra Schwer, Anne Thomas
We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety in the affine flag variety in terms of galleries that are positively folded w…
math.AG2015
Dimensions of affine Deligne-Lusztig varieties: a new approach via labeled folded alcove walks and root operators
Elizabeth Milićević, Petra Schwer, Anne Thomas
Let G be a reductive group over the field F=k((t)), where k is an algebraic closure of a finite field, and let W be the (extended) affine Weyl group of G. The associated affine Del…