Mirror Symmetry For Zeta Functions
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
In this paper, we study the relation between the zeta function of a Calabi-Yau hypersurface and the zeta function of its mirror. Two types of arithmetic relations are discovered. This motivates us to formulate two general arithmetic mirror conjectures for the zeta functions of a mirror pair of Calabi-Yau manifolds.
Cite
@article{arxiv.math/0411464,
title = {Mirror Symmetry For Zeta Functions},
author = {Daqing Wan},
journal= {arXiv preprint arXiv:math/0411464},
year = {2007}
}
Comments
28 pages