On Algebraic Solutions to Painleve VI

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dc.creatorIwasaki, Katsunori
dc.date2008-09-09
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:03Z
dc.date.available2026-07-07T10:14:03Z
dc.descriptionWe announce some results which might bring a new insight into the classification of algebraic solutions to the sixth Painleve equation. The main results consist of the rationality of parameters, trigonometric Diophantine conditions, and what the author calls the Tetrahedral Theorem regarding the absence of algebraic solutions in certain situations. The method is based on fruitful interactions between the moduli theoretical formulation of Painleve VI and dynamics on character varieties via the Riemann-Hilbert correspondence.
dc.description16 pages, 9 figures, 1 table. A contribution to the Proceedings of the Conference on Exact WKB Analysis and Microlocal Analysis in RIMS, Kyoto, May, 2008
dc.identifierhttps://arxiv.org/abs/0809.1482
dc.identifierhttp://arxiv.org/abs/0809.1482
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172745
dc.subjectClassical Analysis and ODEs
dc.subjectAlgebraic Geometry
dc.subject34M55; 32M17
dc.titleOn Algebraic Solutions to Painleve VI
dc.typetext

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