2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65402In 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.20 pages, 10pt LaTeX, 2 eps figures (v3: some changes for the final version)Algebraic GeometryOperator Algebras58B34, 14G40, 37F30text