Monodromy groups of Kloosterman and hypergeometric sheaves

Nicholas M. Katz, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

Abstract

We study the possible structures of monodromy groups of Kloosterman and hypergeometric sheaves on Gm in characteristic p. We show that most such sheaves satisfy a certain condition (S+) , which has very strong consequences on their monodromy groups. We also classify the finite, almost quasisimple, groups that can occur as monodromy groups of Kloosterman and hypergeometric sheaves.

Original languageEnglish (US)
Pages (from-to)562-662
Number of pages101
JournalGeometric and Functional Analysis
Volume31
Issue number3
DOIs
StatePublished - Jun 2021
Externally publishedYes

Keywords

  • Finite simple groups
  • Hypergeometric sheaves
  • Local systems
  • Monodromy groups

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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