The dimension of some affine Deligne-Lusztig varieties

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, some small mistakes corrected, author's last name changed from Mierendorff to Viehmann

Scientific paper

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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