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Triplets spectraux en geometrie d'Arakelov

Caterina Consani·Matilde Marcolli
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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.

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Caterina Consani, Matilde Marcolli. 2002-09-15. Triplets spectraux en geometrie d'Arakelov. https://arxiv.org/abs/math/0209182

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