English

Moment Zeta Functions for Toric Calabi-Yau Hypersurfaces

Number Theory 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0702679,
  title  = {Moment Zeta Functions for Toric Calabi-Yau Hypersurfaces},
  author = {Antonio Rojas-Leon and Daqing Wan},
  journal= {arXiv preprint arXiv:math/0702679},
  year   = {2007}
}