Triplets spectraux en geometrie d'Arakelov
classification
🧮 math.AG
math.NTmath.OA
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arakelovbriefcohomologyconeconnectionconnesdualfiber
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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.
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