Hypergeometric sheaves with tannakian monodromy group G₂

2024/04/19 by Zurbuchen, Beat
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2404.12919

Abstract

Based on a suggestion by Katz, we determine the monodromy group of a certain hypergeometric sum to be G₂. Our approach is based on the uniformity results by Katz on the Fourier transform to deduce uniformity for the Tannakian monodromy groups.

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