Classification of Okamoto-Painlevé Pairs

Simple item page
dc.creatorSaito, Masa-Hiko
dc.creatorTakebe, Taro
dc.date2000-06-05
dc.date.accessioned2026-07-07T04:35:43Z
dc.date.available2026-07-07T04:35:43Z
dc.descriptionIn this paper, we introduce the notion of an Okamoto-Painlevé pair (S, Y) which consists of a compact smooth complex surface S and an effective divisor Y on S satisfying certain conditions. Though spaces of initial values of Painlevé equations introduced by K. Okamoto give examples of Okamoto-Painleve pairs, we find a new example of Okamoto-Painlevé pairs not listed in \cite{Oka}. We will give the complete classification of Okamoto-Painlevé pairs.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0006028
dc.identifierhttp://arxiv.org/abs/math/0006028
dc.identifierKobe Journal Math., Vol. 19, No.1-2. 2002 21--55
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59346
dc.subjectAlgebraic Geometry
dc.subject14D15, 14J26
dc.titleClassification of Okamoto-Painlevé Pairs
dc.typetext

Files

Collections

arXiv