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math.AG2002★ 11 cited
Nodal curves and Riccati solutions of Painlevé equations
Masa-Hiko Saito, Hitomi Terajima
In this paper, we study Riccati solutions of Painlevé equations from a view point of geometry of Okamoto-Painlevé pairs . After establishing the correspondence between (rati…
math.AG2000★ 2 cited
Local cohomology of generalized Okamoto-Painlevé pairs and Painlevé equations
Hitomi Terajima
In the theory of deformation of Okamoto-Painlevé pair (S,Y), a local cohomology group plays an important role. In this paper, we estimate the local cohomology…
math.AG2000★ 18 cited
Deformation of Okamoto-Painlevé Pairs and Painlevé equations
Masa-Hiko Saito, Taro Takebe, Hitomi Terajima
In this paper, we introduce the notion of generalized rational Okamoto-Painlevé pair (S, Y) by generalizing the notion of the spaces of initial conditions of Painlevé equations. Af…