Geometry and arithmetic on a quintic threefold

Mathematics – Number Theory

Scientific paper

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49 pages. Updated versions will also appear on: http://www.math.toronto.edu/~kc

Scientific paper

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 the Galois representation.

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