Zeta Functions of Projective Toric Hypersurfaces over Finite Fields
arXiv:0811.0887
Abstract
I give a formula for the zeta function of a projective toric hypersurface over a finite field and estimate its Newton polygon. As an application this formula allows us to compute the exact number of rational points on the families of Calabi-Yau manifolds in Mirror Symmetry.
26 pages, 0 figure