4 citations · 9 across the 12 of their papers we have counts for
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Equivariant Linearization and Rotation Domains on K3 Surfaces
Katsunori Iwasaki
We construct a lot of K3 surface automorphisms of positive entropy having rotation domains of ranks 1 and 2. To carry out this construction, we first lay theoretical foundations co…
K3 Surfaces, Picard Numbers and Siegel Disks
Katsunori Iwasaki, Yuta Takada
If a K3 surface admits an automorphism with a Siegel disk, then its Picard number is an even integer between and . Conversely, using the method of hypergeometric groups, we…
Hypergeometric Groups and Dynamics on K3 Surfaces
Katsunori Iwasaki, Yuta Takada
A hypergeometric group is a matrix group modeled on the monodromy group of a generalized hypergeometric differential equation. This article presents a fruitful interaction between…
Singular cubic surfaces and the dynamics of Painleve VI
Katsunori Iwasaki, Takato Uehara
We develop a dynamical study of the sixth Painleve equation for all parameters generalizing an earlier work for generic parameters. Here the main focus of this paper is on non-gene…
Finite branch solutions to Painleve VI around a fixed singular point
Katsunori Iwasaki
Every finite branch solutions to the sixth Painleve equation around a fixed singular point is an algebraic branch solution. In particular a global solution is an algebraic solution…
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…