Hypergeometric Local Systems and Parabolic Bundles

2025/09/30 by Wu, Charlie
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.25629

Abstract

Beukers and Heckman gave necessary and sufficient conditions for a hypergeometric function _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.

Citations

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