Stokes matrices of hypergeometric integrals

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dc.creatorGlutsyuk, Alexey
dc.creatorSabot, Christophe
dc.date2007-12-11
dc.date.accessioned2026-07-07T08:48:35Z
dc.date.available2026-07-07T08:48:35Z
dc.descriptionIn this work we compute the Stokes matrices of the ordinary differential equation satisfied by the hypergeometric integrals associated to an arrangement of hyperplanes in generic position. This generalizes the computation done by Ramis and Duval for confluent hypergeometric functions, which correspond to the arrangement of two points on the line. The proof is based on an explicit description of a base of canonical solutions as integrals on the cones of the arrangement, and combinatorial relations between integrals on cones and on domains.
dc.description2 figures
dc.identifierhttps://arxiv.org/abs/0712.1707
dc.identifierhttp://arxiv.org/abs/0712.1707
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143995
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject34M40
dc.titleStokes matrices of hypergeometric integrals
dc.typetext

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