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

Annette Werner
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Abstract

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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Annette Werner. 2002-04-11. Non-Archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL. https://arxiv.org/abs/math/0004029

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