Triplets spectraux en geometrie d'Arakelov
arXiv:math/0209182
Abstract
This 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. Paris