{ "id": "math/0210357", "version": "v3", "published": "2002-10-23T03:04:02.000Z", "updated": "2003-10-27T22:29:18.000Z", "title": "New perspectives in Arakelov geometry", "authors": [ "Caterina Consani", "Matilde Marcolli" ], "comment": "20 pages, 10pt LaTeX, 2 eps figures (v3: some changes for the final version)", "categories": [ "math.AG", "math.OA" ], "abstract": "In this survey, written for the proceedings of the VII meeting of the CNTA held in May 2002 in Montreal, we describe how Connes' theory of spectral triples provides a unified view, via noncommutative geometry, of the archimedean and the totally split degenerate fibers of an arithmetic surface.", "revisions": [ { "version": "v3", "updated": "2003-10-27T22:29:18.000Z" } ], "analyses": { "subjects": [ "58B34", "14G40", "37F30" ], "keywords": [ "arakelov geometry", "perspectives", "totally split degenerate fibers", "cnta held", "spectral triples" ], "note": { "typesetting": "LaTeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....10357C" } } }