4 papers · 1 filter
Moduli spaces for linear differential equations and the Painlevé equations
Marius van der Put, Masa-Hiko Saito
In this paper, we give a systematic construction of ten isomonodromic families of connections of rank two on inducing Painlevé equations. The classification of ten f…
Moduli of Stable Parabolic Connections, Riemann-Hilbert Correspondence and Geometry of Painlevé Equation of Type VI, Part II
Michi-aki Inaba, Katsunori Iwasaki, Masa-Hiko Saito
In this paper, we show that the family of moduli spaces of $\balpha'$-stable $(\bt, \blambda)$-parabolic -connections of rank 2 over $\BP^1$ with 4-regular singular points and t…
The modularity conjecture for rigid Calabi-Yau threefolds over Q
Masa-Hiko Saito, Noriko Yui
We formulate the modularity conjecture for rigid Calabi-Yau threefolds defined over the field Q of rational numbers. We establish the modularity for the rigid Calabi-Yau threefold…
Classification of Okamoto-Painlevé Pairs
Masa-Hiko Saito, Taro Takebe
In 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 co…