Triplets spectraux en geometrie d'Arakelov
Algebraic Geometry
2007-05-23 v1 Number Theory
Operator Algebras
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.
Cite
@article{arxiv.math/0209182,
title = {Triplets spectraux en geometrie d'Arakelov},
author = {Caterina Consani and Matilde Marcolli},
journal= {arXiv preprint arXiv:math/0209182},
year = {2007}
}
Comments
6 pages, LaTeX, French with English summary, to appear in Comptes Rendus Acad. Sci. Paris