About coordinates on the phase-spaces of Schlesinger system ($n+1$ matrices, $sl(2,C)$-case) and Garnier--Painlevé 6 system

dc.creatorBabich, Mikhail V.
dc.date2006-05-19
dc.date.accessioned2026-07-07T07:14:24Z
dc.date.available2026-07-07T07:14:24Z
dc.descriptionThe geometric model of the pathway linking Schlesinger and Garnier--Painlevé~6 systems based on an original orthonormalization of a set of elements in ${sl(2,\mathbb C)}$ is constructed. The explicit polynomial map of the Cartesian products of $n-2$ quadrics (the Zariski-topology chart of the phase space of the Garnier--Painlevé~6 system) into the phase space of the Schlesinger system and the rational inverse to this map are presented.
dc.identifierhttps://arxiv.org/abs/math/0605544
dc.identifierhttp://arxiv.org/abs/math/0605544
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112863
dc.subjectSymplectic Geometry
dc.subjectClassical Analysis and ODEs
dc.subject53D05
dc.titleAbout coordinates on the phase-spaces of Schlesinger system ($n+1$ matrices, $sl(2,C)$-case) and Garnier--Painlevé 6 system
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