{ "id": "math/0004029", "version": "v2", "published": "2000-04-06T10:01:57.000Z", "updated": "2002-04-11T15:01:16.000Z", "title": "Non-Archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL", "authors": [ "Annette Werner" ], "comment": "Final streamlined version", "journal": "Ann. Inst. Fourier 51 (2001) 1483-1505", "categories": [ "math.AG", "math.NT" ], "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).", "revisions": [ { "version": "v2", "updated": "2002-04-11T15:01:16.000Z" } ], "analyses": { "subjects": [ "14G40", "51E24" ], "keywords": [ "non-archimedean intersection indices", "bruhat-tits building", "projective spaces", "paper non-archimedean local intersection numbers", "arakelov theory" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......4029W" } } }