New perspectives in Arakelov geometry
Algebraic Geometry
2007-05-23 v3 Operator Algebras
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.
Cite
@article{arxiv.math/0210357,
title = {New perspectives in Arakelov geometry},
author = {Caterina Consani and Matilde Marcolli},
journal= {arXiv preprint arXiv:math/0210357},
year = {2007}
}
Comments
20 pages, 10pt LaTeX, 2 eps figures (v3: some changes for the final version)