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arXiv:math/0006028 [math.AG]AbstractReferencesReviewsResources

Classification of Okamoto-Painlevé Pairs

Masa-Hiko Saito, Taro Takebe

Published 2000-06-05Version 1

In this paper, we introduce the notion of an Okamoto-Painlev\'e 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 Painlev\'e equations introduced by K. Okamoto give examples of Okamoto-Painleve pairs, we find a new example of Okamoto-Painlev\'e pairs not listed in \cite{Oka}. We will give the complete classification of Okamoto-Painlev\'e pairs.

Comments: 24 pages
Journal: Kobe Journal Math., Vol. 19, No.1-2. 2002 21--55
Categories: math.AG
Subjects: 14D15, 14J26
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