1 citations · 2 across the 5 of their papers we have counts for
5 papers
On the moduli space of the standard Cantor set
Hiroshige Shiga
We consider a generalized Cantor set for an infinite sequence of positive numbers with , and examine the quasiconformal equivalence to the…
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…
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…
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…
Projective structures with discrete holonomy representations
Hiroshige Shiga, Harumi Tanigawa
Let denote the set of projective structures on a compact Riemann surface whose holonomy representations are discrete. We will show that each component of the interior of…