Open Access
May 2015 Middle convolution and non-Schlesinger deformations
Yulia Bibilo, Galina Filipuk
Proc. Japan Acad. Ser. A Math. Sci. 91(5): 66-69 (May 2015). DOI: 10.3792/pjaa.91.66


Middle convolution is an operation for Fuchsian systems of differential equations which preserves Schlesinger’s deformation equations. In this paper we announce that Bolibruch’s non-Schlesinger deformations of Fuchsian systems are, in general, not preserved by middle convolution.


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Yulia Bibilo. Galina Filipuk. "Middle convolution and non-Schlesinger deformations." Proc. Japan Acad. Ser. A Math. Sci. 91 (5) 66 - 69, May 2015.


Published: May 2015
First available in Project Euclid: 30 April 2015

zbMATH: 1327.34148
MathSciNet: MR3342029
Digital Object Identifier: 10.3792/pjaa.91.66

Primary: 34M56 , 44A15

Keywords: isomonodromic deformations , middle convolution , non-Schlesinger isomonodromic deformations

Rights: Copyright © 2015 The Japan Academy

Vol.91 • No. 5 • May 2015
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