Spectral Triples from Mumford Curves

@inproceedings{Marcolli2002SpectralTF,
  title={Spectral Triples from Mumford Curves},
  author={Matilde Marcolli},
  year={2002}
}
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. 
Highly Cited
This paper has 21 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 13 references

Double complexes and Euler L – factors

  • M. Marcolli C. Consani
  • Compositio Math .
  • 1998

Lectures on zeta functions and motives

  • Yu. I. Manin
  • Astérisque
  • 1998

Geometry from the spectral point of view

  • A. Connes
  • Lett . Math . Phys .
  • 1995

Manin , Three – dimensional hyperbolic geometry as ∞ – adic Arakelov geome

  • I. Yu.
  • Invent . Math .
  • 1995

Local Lfactors of motives and regularized determinants

  • C. Deninger
  • Invent . Math .
  • 1992

On the Γ – factors attached to motives

  • C. Deninger
  • Invent . Math .
  • 1991

Multiloop calculations in p - adic string theory and BruhatTits trees

  • L. Chekhov, A. Mironov, A. Zabrodin
  • Comm . Math . Phys .
  • 1989

The Clemens – Schmid exact sequence and applications An analytic construction of degenerating curves over complete local rings

  • S. W. Parry
  • Compositio Math .
  • 1972

Similar Papers

Loading similar papers…