Non-Archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL
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 Pn-1 with the combinatorial geometry of the Bruhat-Tits building associated to PGL(n).
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