Spectral triples from Mumford curves
Number Theory
2007-05-23 v4 Algebraic Geometry
Operator Algebras
Abstract
We construct spectral triples associated to Schottky--Mumford curves, in such a way that the local Euler factor can be recovered from the zeta functions of such spectral triples. We propose a way of extending this construction to the case where the curve is not k-split degenerate.
Cite
@article{arxiv.math/0210435,
title = {Spectral triples from Mumford curves},
author = {Caterina Consani and Matilde Marcolli},
journal= {arXiv preprint arXiv:math/0210435},
year = {2007}
}
Comments
25 pages, LaTeX, 4 eps figures (v4: to appear in IMRN)