Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces.

DOI10.1215/S0012-7094-02-11125-9zbMath1075.14022arXivmath/0006128OpenAlexW2084670620MaRDI QIDQ1847896

Annette Werner

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006128

zbMATH Keywords

geodesicsymmetric spaceBruhat-Tits buildingArakelov intersection theory

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Buildings and the geometry of diagrams (51E24) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Groups with a (BN)-pair; buildings (20E42)

Related Items (2)

Hyperbolic superspaces and super-Riemann surfaces ⋮ Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for \(PGL\).

Cites Work

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• Representation theory and sheaves on the Bruhat-Tits building
• Groupes reductifs
• Quasi-functions and heights on abelian varieties
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Reductive groups over a local field
• Lie groups beyond an introduction
• Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for \(PGL\).

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