MONODROMY GROUPS OF KLOOSTERMAN AND HYPERGEOMETRIC SHEAVES

被引：3

作者：

Katz, Nicholas M. ^{[1
]}

Pham Huu Tiep ^{[2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2021年 / 31卷 / 03期

关键词：

Local systems; Hypergeometric sheaves; Monodromy groups; Finite simple groups; CROSS CHARACTERISTIC REPRESENTATIONS; WEIL REPRESENTATIONS; FINITE; CHARACTERS; CONJECTURE; COVERINGS;

D O I：

10.1007/s00039-021-00578-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：562 / 662

页数：101

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