2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64951This note is a brief overview of the results of math.AG/0205306. We use Connes' theory of spectral triples to provide a connection between Manin's model of the dual graph of the fiber at infinity of an Arakelov surface and the cohomology of the mapping cone of the local monodromy.6 pages, LaTeX, French with English summary, to appear in Comptes Rendus Acad. Sci. ParisAlgebraic GeometryNumber TheoryOperator Algebras58B34, 14G40, 37F30text