Triplets spectraux en geometrie d'Arakelov

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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

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Algebraic Geometry, Number Theory, Operator Algebras, 58B34, 14G40, 37F30

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http://salesiana.dossiersoluciones.com/handle/123456789/64951

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209182
 http://arxiv.org/abs/math/0209182

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arXiv