A finiteness theorem in the Bruhat-Tits building: an application of Landvogt's embedding theorem

DOI10.1016/S0019-3577(99)80035-4zbMath1029.20016MaRDI QIDQ698659

Michael Rapoport, Thomas Zink

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

connected reductive groupsextended Bruhat-Tits buildingsFrobenius automorphisms

Mathematics Subject Classification ID

Groups with a (BN)-pair; buildings (20E42) Linear algebraic groups over local fields and their integers (20G25)

Related Items

THE GENERIC FIBRE OF MODULI SPACES OF BOUNDED LOCAL G-SHTUKAS, Structures de Hodge–Pink pour les φ/𝔖-modules de Breuil et Kisin, Metric Properties of Euclidean Buildings, EXTREMAL CASES OF RAPOPORT–ZINK SPACES, Basic loci of Coxeter type with arbitrary parahoric level, A refinement of the Hodge stratification for connected reductive groups, On the displacement function of isometries of Euclidean buildings, Some functional properties of the Bruhat-Tits building, Fully Hodge-Newton decomposable Shimura varieties, Cristaux et immeubles, Mazur's inequality and Laffaille's theorem, Stratifications of affine Deligne-Lusztig varieties, \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients, Affine Deligne-Lusztig varieties and the action of 𝐽, Metric building exercises

Cites Work

• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Coverings of p-adic symmetric regions
• Metric building exercises
• A compactification of the Bruhat-Tits building
• On the support of Plancherel measure
• Period Spaces for "p"-divisible Groups (AM-141)
• Some functional properties of the Bruhat-Tits building
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