English

Hypergeometric sheaves with tannakian monodromy group $G_2$

Number Theory 2025-12-17 v2 Algebraic Geometry

Abstract

Based on a suggestion by Katz, we determine the monodromy group of a certain hypergeometric sum to be G2G_2. Our approach is based on the uniformity results by Katz on the Fourier transform to deduce uniformity for the Tannakian monodromy groups.

Keywords

Cite

@article{arxiv.2404.12919,
  title  = {Hypergeometric sheaves with tannakian monodromy group $G_2$},
  author = {Beat Zurbuchen},
  journal= {arXiv preprint arXiv:2404.12919},
  year   = {2025}
}