Monodromy groups of Kloosterman and hypergeometric sheaves

Nicholas M. Katz; Pham Huu Tiep

doi:10.1007/s00039-021-00578-0

Monodromy groups of Kloosterman and hypergeometric sheaves

Nicholas M. Katz, Pham Huu Tiep

Mathematics

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10 Scopus citations

Abstract

We study the possible structures of monodromy groups of Kloosterman and hypergeometric sheaves on G_m 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 language	English (US)
Pages (from-to)	562-662
Number of pages	101
Journal	Geometric and Functional Analysis
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/s00039-021-00578-0
State	Published - Jun 2021

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

Keywords

Finite simple groups
Hypergeometric sheaves
Local systems
Monodromy groups

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10.1007/s00039-021-00578-0

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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.",

keywords = "Finite simple groups, Hypergeometric sheaves, Local systems, Monodromy groups",

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AU - Katz, Nicholas M.

AU - Tiep, Pham Huu

PY - 2021/6

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N2 - 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.

AB - 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.

KW - Finite simple groups

KW - Hypergeometric sheaves

KW - Local systems

KW - Monodromy groups

UR - https://www.scopus.com/pages/publications/85113820548

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DO - 10.1007/s00039-021-00578-0

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AN - SCOPUS:85113820548

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EP - 662

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 3

ER -

Monodromy groups of Kloosterman and hypergeometric sheaves

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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