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The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
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Ulrich Görtz
and
Thomas J Haines
Published/Copyright:
September 13, 2007
Abstract
We study the Jordan-Hölder series for nearby cycles on certain Shimura varieties and Rapoport-Zink local models, and on finite-dimensional pieces of Beilinson's deformation of the affine Grassmannian to the affine flag variety (and their p-adic analogues). We give a formula for the multiplicities of irreducible constituents in terms of certain cohomology groups, and we also provide an algorithm to compute multiplicities, in terms of the affine Hecke algebra.
Received: 2004-02-19
Revised: 2006-05-11
Published Online: 2007-09-13
Published in Print: 2007-08-28
© Walter de Gruyter
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Articles in the same Issue
- Shelling totally nonnegative flag varieties
- Nilpotent orbits of a generalization of Hodge structures
- Interpolation of numbers of Catalan type in a local field of positive characteristic
- Cohomologies of unipotent harmonic bundles over noncompact curves
- The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
- The maximum size of L-functions
Articles in the same Issue
- Shelling totally nonnegative flag varieties
- Nilpotent orbits of a generalization of Hodge structures
- Interpolation of numbers of Catalan type in a local field of positive characteristic
- Cohomologies of unipotent harmonic bundles over noncompact curves
- The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
- The maximum size of L-functions
