A building-theoretic approach to relative Tamagawa numbers of semisimple groups over global function fields
type: Item
instance of: scholarly article
title: A building-theoretic approach to relative Tamagawa numbers of semisimple groups over global function fields
zbMATH Open document ID: 1396.20047
author: Rony A. Bitan
author: Ralf Köhl (né Gramlich)
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2018-04-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1450389053
Mathematics Subject Classification ID: 20G25
Mathematics Subject Classification ID: 20G30
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 20E42
Mathematics Subject Classification ID: 51E24
zbMATH DE Number: 6862326
zbMATH Keywords: relative Tamagawa number
zbMATH Keywords: Bruhat-Tits building
zbMATH Keywords: class number
zbMATH Keywords: special vertex
MaRDI profile type: Publication
OpenAlex ID: W2237924733
cites work: Buildings
cites work: The Brauer Group of a Commutative Ring
cites work: Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
cites work: Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
cites work: Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern
cites work: Connected Components of Moduli Stacks of Torsors via Tamagawa Numbers
cites work: The discriminant of an algebraic torus
cites work: Néron Models
cites work: Fonction zêta des hauteurs des variétés toriques non déployées
cites work: Q5580321
cites work: Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups
cites work: Q4720067
cites work: Reductive groups over a local field
cites work: Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
cites work: Q3804918
cites work: Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem.
cites work: Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups.
cites work: Isometry groups of non-positively curved spaces: discrete subgroups
cites work: Congruences of Néron models for tori and the Artin conductor
cites work: Q3484923
cites work: Contractibility of the space of rational maps
cites work: Abelian class groups of reductive group schemes
cites work: On the motive of a reductive group
cites work: Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
cites work: Chevalley groups over function fields and automorphic forms
cites work: Über die Galoiskohomologie halbeinfacher algebraischer Gruppen. III.
cites work: Q4143433
cites work: Explicit Class Field Theory for Rational Function Fields
cites work: On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
cites work: The Čebotarev density theorem for function fields: An elementary approach
cites work: Q5599272
cites work: Algebraic Groups Over Finite Fields
cites work: Q4530238
cites work: Special fibers of Néron models and wild ramification
cites work: Q3997989
cites work: Q3871006
cites work: Q3754095
cites work: On S-class number relations of algebraic tori in Galois extensions of global fields
cites work: Additive reduction of algebraic tori
cites work: Nombres de Tamagawa et groupes unipotents en caractéristique p
cites work: Arithmetic of algebraic tori
cites work: On the Tamagawa number of algebraic tori
cites work: On the relative theory of Tamagawa numbers
cites work: Strong approximation for semi-simple groups over function fields
cites work: Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
cites work: THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS
cites work: Q4002684
cites work: On unique factorization domains
cites work: A norm principle for class groups of reductive group schemes over Dedekind rings of integers of local and global fields
cites work: Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
cites work: Q3341041
cites work: Q4039754
cites work: Q4349107
cites work: Linear algebraic groups.
cites work: Q3050630
cites work: Q5728890
DOI: 10.7169/FACM/2015.53.2.4
description: scientific article; zbMATH DE number 6862326