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RIGID LOCAL SYSTEMS ON $\mathbb{A}^{1}$ WITH FINITE MONODROMY

Part of: Differential equations in the complex domain Finite fields and commutative rings (number-theoretic aspects) Permutation groups

Published online by Cambridge University Press:  01 August 2018

Nicholas M. Katz
Nicholas M. Katz*
Affiliation:
Department of Mathematics, Princeton University, Princeton, NJ 08544, U.S.A. email [email protected]
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Abstract

We formulate some conjectures about the precise determination of the monodromy groups of certain rigid local systems on $\mathbb{A}^{1}$ whose monodromy groups are known, by results of Kubert, to be finite. We prove some of them.

MSC classification

Primary: 11T23: Exponential sums
Secondary: 20B05: General theory for finite groups 34M35: Singularities, monodromy, local behavior of solutions, normal forms
Type
Research Article
Information
Mathematika , Volume 64 , Issue 3 , 2018 , pp. 785 - 846
Copyright
Copyright © University College London 2018 

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