Monodromy groups of Kloosterman and hypergeometric sheaves

Monodromy groups of Kloosterman and hypergeometric sheaves

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 quasisimp...

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Veröffentlicht in:Geometric and functional analysis 2021-06, Vol.31 (3), p.562-662
Hauptverfasser: Katz, Nicholas M., Tiep, Pham Huu
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Sheaves
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Zusammenfassung: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.
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-021-00578-0