Moment Zeta Functions for Toric Calabi-Yau Hypersurfaces

Mathematics – Number Theory

Scientific paper

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Scientific paper

We study in detail the family of Calabi-Yau hypersurfaces defined by
x_1+...+x_n+1/(x_1...x_n)=t over a finite field k. We determine its local and
global monodromy and the trivial factors of its moment zeta function and
Dwork's unit root zeta function.

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