On the generalized Riemann-Hilbert problem with irregular singularities

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dc.creatorBolibruch, A. A.
dc.creatorMalek, S.
dc.creatorMitschi, C.
dc.date2004-10-22
dc.date.accessioned2026-07-07T05:13:36Z
dc.date.available2026-07-07T05:13:36Z
dc.descriptionWe give sufficient conditions, on data including the monodromy representation, the Stokes matrices and the Poincare ranks at prescribed singularities, to solve the generalized Riemann-Hilbert problem with irregular singularities. We recover in particular the irreducibility condition on the monodromy given by Bolibrukh and Kostov in the classical case. We apply the above criteria to solve the inverse problem in differential Galois theory with a better control of the singularities.
dc.identifierhttps://arxiv.org/abs/math/0410483
dc.identifierhttp://arxiv.org/abs/math/0410483
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72968
dc.subjectClassical Analysis and ODEs
dc.subjectAlgebraic Geometry
dc.subject34M50; 34M25; 34M35; 34M40; 20G15
dc.titleOn the generalized Riemann-Hilbert problem with irregular singularities
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