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 language | English (US) |
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Pages (from-to) | 562-662 |
Number of pages | 101 |
Journal | Geometric and Functional Analysis |
Volume | 31 |
Issue number | 3 |
DOIs | |
State | Published - Jun 2021 |
All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology
Keywords
- Finite simple groups
- Hypergeometric sheaves
- Local systems
- Monodromy groups