Published October 28, 2002 | Version Submitted
Discussion Paper Open

Spectral triples from Mumford curves

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.

Additional Information

Part of this work was done during visits of the first author to the Max Planck Institute in Bonn and of the second author to Florida State University and University of Toronto. We thank these institutions for hospitality and support. We are very grateful to Christopher Deninger for a crucial remark about normalizations. This research has been partially supported by NSERC grant 72016789 and by Humboldt Foundation and the German Government (Sofja Kovalevskaya Award).

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Identifiers

Eprint ID
79057
Resolver ID
CaltechAUTHORS:20170713-075847963

Related works

Funding

Natural Sciences and Engineering Research Council of Canada (NSERC)
72016789
Alexander von Humboldt Foundation

Dates

Created
2017-07-13
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Updated
2023-06-01
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