Mirror Symmetry For Zeta Functions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
28 pages

Keywords

Algebraic Geometry, Number Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/73314

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411464
 http://arxiv.org/abs/math/0411464

Collections

arXiv