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math.NT2002★ 2 cited
Spectral triples from Mumford curves
Caterina Consani, Matilde Marcolli
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. W…
math.NT2000
Geometry and arithmetic on a quintic threefold
Caterina Consani, Jasper Scholten
The paper investigates some aspects of the geometry and the arithmetic of a non-rigid Calabi-Yau threefold. Particular emphasis is given to the study of its L-function L(H^3,s) and…