New perspectives in Arakelov geometry

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In this survey, written for the proceedings of the VII meeting of the CNTA held in May 2002 in Montreal, we describe how Connes' theory of spectral triples provides a unified view, via noncommutative geometry, of the archimedean and the totally split degenerate fibers of an arithmetic surface.
20 pages, 10pt LaTeX, 2 eps figures (v3: some changes for the final version)

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

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http://salesiana.dossiersoluciones.com/handle/123456789/65402

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210357
 http://arxiv.org/abs/math/0210357

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arXiv