Hitomi Terajima

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math.AG2002

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 $(S, Y)$ . After establishing the correspondence between (rati…

math.AG2000

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 $H_{D}^{1} (Θ_{S} (- lo g D))$ plays an important role. In this paper, we estimate the local cohomology…