Monodromy groups of certain Kloosterman and hypergeometric sheaves

Nicholas M. Katz; Pham Huu Tiep

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arXiv · 2005.09051

Monodromy groups of certain Kloosterman and hypergeometric sheaves

Nicholas M. Katz·Pham Huu Tiep

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Abstract

A certain "condition (S)" on reductive algebraic groups was introduced in [GT2], in which a slightly stronger condition (S+) was shown to have very strong consequences. We show that a wide class of Kloosterman and hypergeometric sheaves satisfy (S+). For this class of sheaves, we determine possible structure of their monodromy groups.

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Nicholas M. Katz, Pham Huu Tiep. 2020-05-18. Monodromy groups of certain Kloosterman and hypergeometric sheaves. https://arxiv.org/abs/2005.09051

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