Dimensions of affine Deligne-Lusztig varieties in affine flag varieties.
Documenta mathematica, Tome 15 (2010), pp. 1009-1028.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: Affine Deligne-Lusztig varieties are analogs of Deligne-Lusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper [5] by Haines, Kottwitz, Reuman, and the first named author, about the question which affine Deligne-Lusztig varieties (for a split group and a basic $\sigma$-conjugacy class) in the Iwahori case are non-empty. If the underlying algebraic group is a classical group and the chosen basic $\sigma$-conjugacy class is the class of $b=1$, we also prove the dimension formula predicted in op. cit. in almost all cases.
Classification : 20F55, 20G25
Mots-clés : affine Deligne-Lusztig varieties 
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     author = {G\"ortz, Ulrich and He, Xuhua},
     title = {Dimensions of affine {Deligne-Lusztig} varieties in affine flag varieties.},
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     year = {2010},
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Görtz, Ulrich; He, Xuhua. Dimensions of affine Deligne-Lusztig varieties in affine flag varieties.. Documenta mathematica, Tome 15 (2010), pp. 1009-1028. https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a2/