Zeta Functions of Projective Toric Hypersurfaces over Finite Fields

Details Zeta Functions of Projective Toric Hypersurfaces over Finite Fields Zeta Functions of Projective Toric Hypersurfaces over Finite Fields

2008-11-06

arxiv.org/abs/0811.0887v1

Mathematics

Number Theory

26 pages, 0 figure

Scientific paper

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.

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