New perspectives in Arakelov geometry

Details New perspectives in Arakelov geometry New perspectives in Arakelov geometry

2002-10-23

arxiv.org/abs/math/0210357v3

Mathematics

Algebraic Geometry

20 pages, 10pt LaTeX, 2 eps figures (v3: some changes for the final version)

Scientific paper

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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