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The dimension of some affine Deligne-Lusztig varieties

Eva Viehmann
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Abstract

We prove Rapoport's dimension conjecture for affine Deligne-Lusztig varieties for GL_h 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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Eva Viehmann. 2006-07-21. The dimension of some affine Deligne-Lusztig varieties. https://arxiv.org/abs/math/0510385

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