English

Invertible Calabi-Yau Orbifolds over Finite Fields II

Number Theory 2026-02-27 v1 High Energy Physics - Theory Algebraic Geometry

Abstract

We state a conjecture about the zeta function of crepant resolutions of Berglund--H\"ubsch orbifold hypersurfaces over a finite field. In addition to numerical evidence, we show that our conjectural zeta function satisfies the Weil conjectures and we elucidate its connection with Monsky--Washnitzer cohomology.

Keywords

Cite

@article{arxiv.2602.23173,
  title  = {Invertible Calabi-Yau Orbifolds over Finite Fields II},
  author = {Marco Aldi and Andrija Peruničić},
  journal= {arXiv preprint arXiv:2602.23173},
  year   = {2026}
}