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The dimension of some affine Deligne-Lusztig varieties

2005/10/31 by Viehmann, Eva
#14L05 #20G25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0510385

Abstract

We prove Rapoport's dimension conjecture for affine Deligne-Lusztig varieties for GLh and superbasic b. From this case the general dimension formula for affine Deligne-Lusztig varieties for special maximal compact subgroups of split groups follows, as was shown in a recent paper by Goertz, Haines, Kottwitz, and Reuman.

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