English

Hypergeometric Local Systems and Parabolic Bundles

Algebraic Geometry 2025-10-01 v1

Abstract

Beukers and Heckman gave necessary and sufficient conditions for a hypergeometric function nFn1_n F_{n-1} to be algebraic. We give a new proof of this theorem by passing through the Mehta-Seshadri correspondence. In particular, we explicitly write down the parabolic bundle corresponding to a unitary hypergeometric local system.

Keywords

Cite

@article{arxiv.2509.25629,
  title  = {Hypergeometric Local Systems and Parabolic Bundles},
  author = {Charlie Wu},
  journal= {arXiv preprint arXiv:2509.25629},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-07-01T06:06:31.580Z