Painlevé VI equations with algebraic solutions and family of curves

Simple item page
dc.creatorMovasati, Hossein
dc.creatorReiter, Stefan
dc.date2008-06-06
dc.date.accessioned2026-07-07T09:43:07Z
dc.date.available2026-07-07T09:43:07Z
dc.descriptionIn families of Painlevé VI differential equations having common algebraic solutions we classify all the members which come from geometry, i.e. the corresponding linear differential equations which are Picard-Fuchs associated to families of algebraic varieties. In our case, we have one family with zero dimensional fibers and all others are families of curves. We use the classification of families of elliptic curves with four singular fibers done by Herfurtner in 1992 and generalize the results of Doran in 2001 and Ben Hamed and Gavrilov in 2005.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0806.1213
dc.identifierhttp://arxiv.org/abs/0806.1213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162436
dc.subjectAlgebraic Geometry
dc.subjectClassical Analysis and ODEs
dc.subject34M55
dc.titlePainlevé VI equations with algebraic solutions and family of curves
dc.typetext

Files

Collections

arXiv