Classification of Fuchsian systems and their connection problem

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dc.creatorOshima, Toshio
dc.date2008-11-18
dc.date2009-01-07
dc.date.accessioned2026-07-07T12:24:50Z
dc.date.available2026-07-07T12:24:50Z
dc.descriptionWe review the Deligne-Simpson problem, a combinatorial structure of middle convolutions and their relation to a Kac-Moody root system discoverd by Crawley-Boevey. We show with examples that middle convolutions transform the Fuchsian systems with a fixed number of accessory parameters into fundamental systems whose spectral type is in a finite set and we give an explicit connection formula for solutions of Fuchsian differential equations without moduli.
dc.description23pages, added appendix and examples
dc.identifierhttps://arxiv.org/abs/0811.2916
dc.identifierhttp://arxiv.org/abs/0811.2916
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214444
dc.subjectClassical Analysis and ODEs
dc.subject34M35
dc.titleClassification of Fuchsian systems and their connection problem
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