Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Number Theory
2017-11-08 v2 Algebraic Geometry
Abstract
Let and be monomial deformations of two Delsarte hypersurfaces in weighted projective spaces. In this paper we give a sufficient condition so that their zeta functions have a common factor. This generalises results by Doran, Kelly, Salerno, Sperber, Voight and Whitcher [arXiv:1612.09249], where they showed this for a particular monomial deformation of a Calabi-Yau invertible polynomial. It turns out that our factor can be of higher degree than the factor found in [arXiv:1612.09249].
Keywords
Cite
@article{arxiv.1706.01626,
title = {Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces},
author = {Remke Kloosterman},
journal= {arXiv preprint arXiv:1706.01626},
year = {2017}
}