Monodromy groups of certain Kloosterman and hypergeometric sheaves
Number Theory
2020-05-20 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.2005.09051,
title = {Monodromy groups of certain Kloosterman and hypergeometric sheaves},
author = {Nicholas M. Katz and Pham Huu Tiep},
journal= {arXiv preprint arXiv:2005.09051},
year = {2020}
}
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74 pages