2004/02/09 by Ulrich Goertz, Thomas J. Haines, Goertz, Ulrich +1
Mathematics · #14G35 #14M15 #20C08 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT #msc:14G35 #msc:14M15 #msc:20C08
paper · pdf · doi:10.48550/arxiv.math/0402143
71 pp
arxiv created 2004/02/09 · openalex publication_date 2004/02/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the Jordan-Hoelder 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.