Non-Archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL

Details Non-Archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL Non-Archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL

2000-04-06

arxiv.org/abs/math/0004029v2

Ann. Inst. Fourier 51 (2001) 1483-1505

Mathematics

Algebraic Geometry

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Scientific paper

Inspired by Manin's approach towards a geometric interpretation of Arakelov
theory at infinity, we interpret in this paper non-Archimedean local
intersection numbers of linear cycles in $P^{n-1}$ with the combinatorial
geometry of the Bruhat-Tits building associated to PGL(n).

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