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

DOI10.1515/CRELLE.2007.063zbMath1157.14013arXivmath/0402143OpenAlexW2065016375MaRDI QIDQ5421688

Thomas J. Haines, Ulrich Görtz

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402143

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Modular and Shimura varieties (14G35) Algebraic cycles (14C25)

Related Items

Frobenius semisimplicity for convolution morphisms ⋮ Monodromy of perverse sheaves on vanishing cycles on some Shimura varieties ⋮ Local models of Shimura varieties and a conjecture of Kottwitz ⋮ Dualities for root systems with automorphisms and applications to non-split groups ⋮ Nearby cycles for parity sheaves on a divisor with simple normal crossings ⋮ Kloosterman sheaves for reductive groups ⋮ Local models for Weil-restricted groups ⋮ Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves ⋮ Integral models of Shimura varieties with parahoric level structure ⋮ Alcove walks and nearby cycles on affine flag manifolds. ⋮ Local models in the ramified case. II: Splitting models ⋮ Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds ⋮ COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES ⋮ Bessel \(F\)-isocrystals for reductive groups

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