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Published November 15, 2002 | public
Journal Article

Spectral triples in Arakelov geometry

Abstract

In this Note, 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.

Additional Information

© 2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. Received 27 June 2002; revised 26 September 2002; Note présentée par Alain Connes. Available online 20 October 2002.

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024