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math.AG2003★ 29 cited
Bäcklund Transformations of the Sixth Painlevé Equation in Terms of Riemann-Hilbert Correspondence
Michi-aki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
It is well known that the sixth Painlevé equation $\PVI$ admits a group of Bäcklund transformations which is isomorphic to the affine Weyl group of type . Altho…
math.AG2003★ 104 cited
Moduli of Stable Parabolic Connections, Riemann-Hilbert correspondence and Geometry of Painlevé equation of type VI, Part I
Michi-aki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
In this paper, we will give a complete geometric background for the geometry of Painlevé and Garnier equations. By geometric invariant theory, we will construct a smooth coars…