arXiv Analytics

Sign in

arXiv:math/0210357 [math.AG]AbstractReferencesReviewsResources

New perspectives in Arakelov geometry

Caterina Consani, Matilde Marcolli

Published 2002-10-23, updated 2003-10-27Version 3

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.

Comments: 20 pages, 10pt LaTeX, 2 eps figures (v3: some changes for the final version)
Categories: math.AG, math.OA
Subjects: 58B34, 14G40, 37F30
Related articles: Most relevant | Search more
arXiv:0704.2030 [math.AG] (Published 2007-04-16)
New Approach to Arakelov Geometry
arXiv:math/0105098 [math.AG] (Published 2001-05-11)
A fixed point formula of Lefschetz type in Arakelov geometry II: a residue formula
arXiv:2206.07954 [math.AG] (Published 2022-06-16)
On the deformation to the normal cone in Arakelov geometry

Links

Toolbox