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VOL. 62 | 2012 Middle convolution for completely integrable systems with logarithmic singularities along hyperplane arrangements
Yoshishige Haraoka

Editor(s) Hiroaki Terao, Sergey Yuzvinsky

Abstract

The middle convolution for completely integrable systems with logarithmic singularities along hyperplane arrangements is defined as a natural generalization of the middle convolution for Fuchsian ordinary differential equations. Additivity of the generalized middle convolution is proved. It is observed that the singular locus may increase by the generalized middle convolution. Examples concerning with hypergeometric series in several variables are given.

Information

Published: 1 January 2012
First available in Project Euclid: 24 November 2018

zbMATH: 1288.32039
MathSciNet: MR2933794

Digital Object Identifier: 10.2969/aspm/06210109

Subjects:
Primary: 33C65, 58A17

Rights: Copyright © 2012 Mathematical Society of Japan

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