Triplets spectraux en geometrie d'Arakelov

Details Triplets spectraux en geometrie d'Arakelov Triplets spectraux en geometrie d'Arakelov

2002-09-15

arxiv.org/abs/math/0209182v1

Mathematics

Algebraic Geometry

6 pages, LaTeX, French with English summary, to appear in Comptes Rendus Acad. Sci. Paris

Scientific paper

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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