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New perspectives in Arakelov geometry

Caterina Consani·Matilde Marcolli
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Abstract

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.

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Caterina Consani, Matilde Marcolli. 2003-10-27. New perspectives in Arakelov geometry. https://arxiv.org/abs/math/0210357

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