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The dimension of some affine Deligne-Lusztig varieties

Eva Viehmann

math.AGarXiv: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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