Spectral triples from Mumford curves

Caterina Consani; Matilde Marcolli

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Spectral triples from Mumford curves

Caterina Consani·Matilde Marcolli

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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.

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Caterina Consani, Matilde Marcolli. 2003-06-12. Spectral triples from Mumford curves. https://arxiv.org/abs/math/0210435

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