Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface

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dc.creatorIwasaki, Katsunori
dc.creatorUehara, Takato
dc.date2005-12-27
dc.date2006-01-06
dc.date.accessioned2026-07-07T06:55:47Z
dc.date.available2026-07-07T06:55:47Z
dc.descriptionThe number of periodic solutions to Painlevé VI along a Pochhammer loop is counted exactly. It is shown that the number grows exponentially with period, where the growth rate is determined explicitly. Principal ingredients of the computation are a moduli-theoretical formulation of Painlevé VI, a Riemann-Hilbert correspondence, the dynamical system of a birational map on a cubic surface, and the Lefschetz fixed point formula.
dc.description26 pages, 10 figures, 4 tables
dc.identifierhttps://arxiv.org/abs/math/0512583
dc.identifierhttp://arxiv.org/abs/math/0512583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106393
dc.subjectAlgebraic Geometry
dc.subjectDynamical Systems
dc.subject34M55; 37F10
dc.titlePeriodic Solutions to Painlevé VI and Dynamical System on Cubic Surface
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