Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for \(PGL\).

DOI10.5802/aif.1862zbMath1054.14030arXivmath/0004029OpenAlexW1667880160MaRDI QIDQ5956576

Annette Werner

Publication date: 21 February 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004029

zbMATH Keywords

local intersection numbersSerre's intersection number

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Local ground fields in algebraic geometry (14G20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Groups with a (BN)-pair; buildings (20E42)

Related Items (3)

Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Capacity theory and arithmetic intersection theory ⋮ Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces.

Cites Work

• Arithmetic intersection theory
• Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry
• Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces.
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Reductive groups over a local field
• Unnamed Item

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