Moment Zeta Functions for Toric Calabi-Yau Hypersurfaces

Abstract

We study in detail the family of Calabi-Yau hypersurfaces defined by x1+...+xn+1/(x1...xn)=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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