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On a finite type property of certain affine Deligne-Lusztig varieties

We give a new proof of the fact that affine Deligne-Lusztig varieties for an algebraic group of adjoint type, associated with superbasic elements, are of finite type. The proof uses a property of the associated Hecke algebra, which we reprove, and an estimate of the length of certain elements in the affine Weyl group.

preprint2012arXivOpen access
Alexander Ivanov
math.AG
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Alexander Ivanov

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