3 papers
math.CV2018
On the quasiconformal equivalence of dynamical Cantor sets
Hiroshige Shiga
The complement of a Cantor set in the complex plane is itself regarded as a Riemann surface of infinite type. The problem is the quasiconformal equivalence of such Riemann surfaces…
math.CV2018
The quasiconformal equivalence of Riemann surfaces and the universal Schottky space
Hiroshige Shiga
In the theory of Teichmüller space of Riemann surfaces, we consider the set of Riemann surfaces which are quasiconformally equivalent. For topologically finite Riemann surfaces, it…
math.CV2017
Extending holomorphic motions and monodromy
Hiroshige Shiga
Let be a closed set in the Riemann sphere . We consider a holomorphic motion of over a complex manifold , that is, a holomorphic family of inje…