Moment Zeta Functions for Toric Calabi-Yau Hypersurfaces
arXiv:math/0702679
Abstract
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.