The Jordan-Holder series for nearby cycles on some Shimura varieties and affine flag varieties

被引：14
|
作者：
Goertz, Ulrich
Haines, Thomas J.
机构：
[1] Univ Bonn, Inst Math, D-53115 Bonn, Germany
[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2007年 / 609卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1515/CRELLE.2007.063
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Jordan-Hoder 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.
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页码：161 / 213
页数：53
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