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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.Comment: 25 pages, LaTeX, 4 eps figures (v4: to appear in IMRN

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