Spectral triples from Mumford curves

Details Spectral triples from Mumford curves Spectral triples from Mumford curves

2002-10-28

arxiv.org/abs/math/0210435v4

Mathematics

Number Theory

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

Scientific paper

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.

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